BasicGates: Add new task for adding global phase -1 (#177)
This commit is contained in:
Sarah Floris
Mariia Mykhailova
Родитель
47dfa99dc7
Коммит
8621795b0d
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@ -107,7 +107,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T11_StateFlip_Test \n",
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"%kata T101_StateFlip_Test \n",
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"\n",
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"operation StateFlip (q : Qubit) : Unit is Adj+Ctl {\n",
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" // The Pauli X gate will change the |0⟩ state to the |1⟩ state and vice versa.\n",
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@ -142,7 +142,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T12_BasisChange_Test \n",
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"%kata T102_BasisChange_Test \n",
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"\n",
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"operation BasisChange (q : Qubit) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -166,7 +166,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T13_SignFlip_Test \n",
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"%kata T103_SignFlip_Test \n",
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"\n",
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"operation SignFlip (q : Qubit) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -199,7 +199,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T14_AmplitudeChange_Test\n",
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"%kata T104_AmplitudeChange_Test\n",
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"\n",
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"operation AmplitudeChange (alpha : Double, q : Qubit) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -223,7 +223,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T15_PhaseFlip_Test\n",
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"%kata T105_PhaseFlip_Test\n",
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"\n",
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"operation PhaseFlip (q : Qubit) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -253,7 +253,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T16_PhaseChange_Test\n",
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"%kata T106_PhaseChange_Test\n",
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"\n",
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"operation PhaseChange (alpha : Double, q : Qubit) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -264,7 +264,34 @@
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Task 1.7. Bell state change - 1\n",
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"### Task 1.7. Global phase change\n",
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"**Input:** A qubit in state $|\\psi\\rangle = \\beta |0\\rangle + \\gamma |1\\rangle$.\n",
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"\n",
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"**Goal**: Change the state of the qubit to $- \\beta |0\\rangle - \\gamma |1\\rangle$.\n",
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"\n",
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"> Note: this change on its own is not observable - there is no experiment you can do on a standalone qubit to figure out whether it acquired the global phase or not. \n",
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"> However, you can use a controlled version of this operation to observe the global phase it introduces. \n",
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"> This is used in later katas as part of more complicated tasks."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T107_GlobalPhaseChange_Test\n",
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"\n",
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"operation GlobalPhaseChange (q : Qubit) : Unit is Adj+Ctl {\n",
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" // ...\n",
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"}"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Task 1.8. Bell state change - 1\n",
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"\n",
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"**Input:** Two entangled qubits in Bell state $|\\Phi^{+}\\rangle = \\frac{1}{\\sqrt{2}} \\big(|00\\rangle + |11\\rangle\\big)$.\n",
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"\n",
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@ -277,7 +304,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T17_BellStateChange1_Test\n",
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"%kata T108_BellStateChange1_Test\n",
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"\n",
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"operation BellStateChange1 (qs : Qubit[]) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -288,7 +315,7 @@
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Task 1.8. Bell state change - 2\n",
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"### Task 1.9. Bell state change - 2\n",
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"\n",
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"**Input:** Two entangled qubits in Bell state $|\\Phi^{+}\\rangle = \\frac{1}{\\sqrt{2}} \\big(|00\\rangle + |11\\rangle\\big)$.\n",
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"\n",
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@ -301,7 +328,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T18_BellStateChange2_Test\n",
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"%kata T109_BellStateChange2_Test\n",
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"\n",
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"operation BellStateChange2 (qs : Qubit[]) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -312,7 +339,7 @@
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Task 1.9. Bell state change - 3\n",
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"### Task 1.10. Bell state change - 3\n",
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"\n",
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"**Input:** Two entangled qubits in Bell state $|\\Phi^{+}\\rangle = \\frac{1}{\\sqrt{2}} \\big(|00\\rangle + |11\\rangle\\big)$.\n",
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"\n",
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@ -325,7 +352,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T19_BellStateChange3_Test\n",
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"%kata T110_BellStateChange3_Test\n",
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"\n",
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"operation BellStateChange3 (qs : Qubit[]) : Unit is Adj+Ctl {\n",
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" // ...\n",
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@ -367,7 +394,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T21_TwoQubitGate1_Test\n",
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"%kata T201_TwoQubitGate1_Test\n",
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"\n",
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"operation TwoQubitGate1 (qs : Qubit[]) : Unit is Adj {\n",
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" // ...\n",
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@ -395,7 +422,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T22_TwoQubitGate2_Test\n",
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"%kata T202_TwoQubitGate2_Test\n",
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"\n",
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"operation TwoQubitGate2 (qs : Qubit[]) : Unit is Adj {\n",
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" // ...\n",
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@ -422,7 +449,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T23_TwoQubitGate3_Test\n",
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"%kata T203_TwoQubitGate3_Test\n",
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"\n",
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"operation TwoQubitGate3 (qs : Qubit[]) : Unit is Adj {\n",
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" // ...\n",
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@ -447,7 +474,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T24_ToffoliGate_Test\n",
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"%kata T204_ToffoliGate_Test\n",
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"\n",
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"operation ToffoliGate (qs : Qubit[]) : Unit is Adj {\n",
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" // ...\n",
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@ -472,7 +499,7 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"%kata T25_FredkinGate_Test\n",
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"%kata T205_FredkinGate_Test\n",
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"\n",
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"operation FredkinGate (qs : Qubit[]) : Unit is Adj {\n",
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" // ...\n",
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@ -10,6 +10,7 @@
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namespace Quantum.Kata.BasicGates {
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open Microsoft.Quantum.Intrinsic;
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open Microsoft.Quantum.Math;
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//////////////////////////////////////////////////////////////////
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@ -81,8 +82,14 @@ namespace Quantum.Kata.BasicGates {
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R1(alpha, q);
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}
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// Task 1.7. Global Phase Change
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// Input: A qubit in state β|0⟩ + γ|1⟩.
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// Goal: Change the state of the qubit to - β|0⟩ - γ|1⟩.
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operation GlobalPhaseChange_Reference (q: Qubit) : Unit is Adj+Ctl {
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R(PauliI, 2.0 * PI(), q);
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}
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// Task 1.7. Bell state change - 1
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// Task 1.8. Bell state change - 1
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// Input: Two entangled qubits in Bell state |Φ⁺⟩ = (|00⟩ + |11⟩) / sqrt(2).
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// Goal: Change the two-qubit state to |Φ⁻⟩ = (|00⟩ - |11⟩) / sqrt(2).
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operation BellStateChange1_Reference (qs : Qubit[]) : Unit is Adj+Ctl {
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@ -91,7 +98,7 @@ namespace Quantum.Kata.BasicGates {
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}
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// Task 1.8. Bell state change - 2
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// Task 1.9. Bell state change - 2
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// Input: Two entangled qubits in Bell state |Φ⁺⟩ = (|00⟩ + |11⟩) / sqrt(2).
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// Goal: Change the two-qubit state to |Ψ⁺⟩ = (|01⟩ + |10⟩) / sqrt(2).
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operation BellStateChange2_Reference (qs : Qubit[]) : Unit is Adj+Ctl {
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@ -100,7 +107,7 @@ namespace Quantum.Kata.BasicGates {
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}
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// Task 1.9. Bell state change - 3
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// Task 1.10. Bell state change - 3
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// Input: Two entangled qubits in Bell state |Φ⁺⟩ = (|00⟩ + |11⟩) / sqrt(2).
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// Goal: Change the two-qubit state to |Ψ⁻⟩ = (|01⟩ - |10⟩) / sqrt(2).
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operation BellStateChange3_Reference (qs : Qubit[]) : Unit is Adj+Ctl {
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@ -111,8 +111,22 @@ namespace Quantum.Kata.BasicGates {
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// ...
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}
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// Task 1.7. Global phase change
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// Input: A qubit in state β|0⟩ + γ|1⟩.
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// Goal: Change the state of the qubit to - β|0⟩ - γ|1⟩.
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//
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// Note: This change on its own is not observable -
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// there is no experiment you can do on a standalone qubit
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// to figure out whether it acquired the global phase or not.
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// However, you can use a controlled version of this operation
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// to observe the global phase it introduces. This is used
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// in later katas as part of more complicated tasks.
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operation GlobalPhaseChange (q: Qubit) : Unit is Adj+Ctl {
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// ...
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}
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// Task 1.7. Bell state change - 1
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// Task 1.8. Bell state change - 1
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// Input: Two entangled qubits in Bell state |Φ⁺⟩ = (|00⟩ + |11⟩) / sqrt(2).
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// Goal: Change the two-qubit state to |Φ⁻⟩ = (|00⟩ - |11⟩) / sqrt(2).
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operation BellStateChange1 (qs : Qubit[]) : Unit is Adj+Ctl {
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@ -120,7 +134,7 @@ namespace Quantum.Kata.BasicGates {
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}
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// Task 1.8. Bell state change - 2
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// Task 1.9. Bell state change - 2
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// Input: Two entangled qubits in Bell state |Φ⁺⟩ = (|00⟩ + |11⟩) / sqrt(2).
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// Goal: Change the two-qubit state to |Ψ⁺⟩ = (|01⟩ + |10⟩) / sqrt(2).
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operation BellStateChange2 (qs : Qubit[]) : Unit is Adj+Ctl {
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@ -128,7 +142,7 @@ namespace Quantum.Kata.BasicGates {
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}
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// Task 1.9. Bell state change - 3
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// Task 1.10. Bell state change - 3
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// Input: Two entangled qubits in Bell state |Φ⁺⟩ = (|00⟩ + |11⟩) / sqrt(2).
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// Goal: Change the two-qubit state to |Ψ⁻⟩ = (|01⟩ - |10⟩) / sqrt(2).
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operation BellStateChange3 (qs : Qubit[]) : Unit is Adj+Ctl {
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@ -35,25 +35,25 @@ namespace Quantum.Kata.BasicGates {
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// ------------------------------------------------------
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operation T11_StateFlip_Test () : Unit {
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operation T101_StateFlip_Test () : Unit {
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AssertOperationsEqualReferenced(2, ArrayWrapperOperation(StateFlip, _), ArrayWrapperOperation(StateFlip_Reference, _));
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}
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// ------------------------------------------------------
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operation T12_BasisChange_Test () : Unit {
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operation T102_BasisChange_Test () : Unit {
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AssertOperationsEqualReferenced(2, ArrayWrapperOperation(BasisChange, _), ArrayWrapperOperation(BasisChange_Reference, _));
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}
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// ------------------------------------------------------
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operation T13_SignFlip_Test () : Unit {
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operation T103_SignFlip_Test () : Unit {
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AssertOperationsEqualReferenced(2, ArrayWrapperOperation(SignFlip, _), ArrayWrapperOperation(SignFlip_Reference, _));
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}
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// ------------------------------------------------------
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operation T14_AmplitudeChange_Test () : Unit {
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operation T104_AmplitudeChange_Test () : Unit {
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for (i in 0 .. 36) {
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let alpha = ((2.0 * PI()) * IntAsDouble(i)) / 36.0;
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AssertOperationsEqualReferenced(2, ArrayWrapperOperation(AmplitudeChange(alpha, _), _), ArrayWrapperOperation(AmplitudeChange_Reference(alpha, _), _));
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@ -62,13 +62,13 @@ namespace Quantum.Kata.BasicGates {
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// ------------------------------------------------------
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operation T15_PhaseFlip_Test () : Unit {
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operation T105_PhaseFlip_Test () : Unit {
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AssertOperationsEqualReferenced(2, ArrayWrapperOperation(PhaseFlip, _), ArrayWrapperOperation(PhaseFlip_Reference, _));
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}
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// ------------------------------------------------------
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operation T16_PhaseChange_Test () : Unit {
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operation T106_PhaseChange_Test () : Unit {
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for (i in 0 .. 36) {
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let alpha = ((2.0 * PI()) * IntAsDouble(i)) / 36.0;
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AssertOperationsEqualReferenced(2, ArrayWrapperOperation(PhaseChange(alpha, _), _), ArrayWrapperOperation(PhaseChange_Reference(alpha, _), _));
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@ -76,6 +76,12 @@ namespace Quantum.Kata.BasicGates {
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}
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// ------------------------------------------------------
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operation T107_GlobalPhaseChange_Test () : Unit {
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AssertOperationsEqualReferenced(2, ArrayWrapperOperation(GlobalPhaseChange, _), ArrayWrapperOperation(GlobalPhaseChange_Reference, _));
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}
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// ------------------------------------------------------
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// 0 - |Φ⁺⟩ = (|00⟩ + |11⟩) / sqrt(2)
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// 1 - |Φ⁻⟩ = (|00⟩ - |11⟩) / sqrt(2)
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@ -119,22 +125,23 @@ namespace Quantum.Kata.BasicGates {
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AssertAllZero(qs);
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}
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}
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// ------------------------------------------------------
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operation T17_BellStateChange1_Test () : Unit {
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operation T108_BellStateChange1_Test () : Unit {
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VerifyBellStateConversion(BellStateChange1, 0, 1);
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}
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// ------------------------------------------------------
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operation T18_BellStateChange2_Test () : Unit {
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operation T109_BellStateChange2_Test () : Unit {
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VerifyBellStateConversion(BellStateChange2, 0, 2);
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}
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// ------------------------------------------------------
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operation T19_BellStateChange3_Test () : Unit {
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operation T110_BellStateChange3_Test () : Unit {
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VerifyBellStateConversion(BellStateChange3, 0, 3);
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}
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@ -147,7 +154,7 @@ namespace Quantum.Kata.BasicGates {
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// ------------------------------------------------------
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operation T21_TwoQubitGate1_Test () : Unit {
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operation T201_TwoQubitGate1_Test () : Unit {
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// Note that the way the problem is formulated, we can't just compare two unitaries,
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// we need to create an input state |A⟩ and check that the output state is correct
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@ -180,7 +187,7 @@ namespace Quantum.Kata.BasicGates {
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// ------------------------------------------------------
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operation T22_TwoQubitGate2_Test () : Unit {
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operation T202_TwoQubitGate2_Test () : Unit {
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using (qs = Qubit[2]) {
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// prepare |+⟩ ⊗ |+⟩ state
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StatePrep_PlusPlus(qs);
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@ -204,20 +211,20 @@ namespace Quantum.Kata.BasicGates {
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}
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operation T23_TwoQubitGate3_Test () : Unit {
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operation T203_TwoQubitGate3_Test () : Unit {
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AssertOperationsEqualReferenced(2, SwapWrapper, TwoQubitGate3_Reference);
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AssertOperationsEqualReferenced(2, TwoQubitGate3, TwoQubitGate3_Reference);
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}
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// ------------------------------------------------------
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operation T24_ToffoliGate_Test () : Unit {
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operation T204_ToffoliGate_Test () : Unit {
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AssertOperationsEqualReferenced(3, ToffoliGate, ToffoliGate_Reference);
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}
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// ------------------------------------------------------
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operation T25_FredkinGate_Test () : Unit {
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operation T205_FredkinGate_Test () : Unit {
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AssertOperationsEqualReferenced(3, FredkinGate, FredkinGate_Reference);
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}
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