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burgholzerburgholzer
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Merge pull request #144 from cda-tum/gate-extensions
✨ Two-Qubit Gate Extensions
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‎include/dd/GateMatrixDefinitions.hpp‎

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@@ -83,6 +83,106 @@ namespace dd {
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complex_zero,
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{std::cos(lambda / 2.), std::sin(lambda / 2.)}}};
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}
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using TwoQubitGateMatrix = std::array<std::array<ComplexValue, NEDGE>, NEDGE>;
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constexpr TwoQubitGateMatrix CXmat{{{complex_one, complex_zero, complex_zero, complex_zero},
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{complex_zero, complex_one, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_zero, complex_one},
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{complex_zero, complex_zero, complex_one, complex_zero}}};
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constexpr TwoQubitGateMatrix CZmat{{{complex_one, complex_zero, complex_zero, complex_zero},
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{complex_zero, complex_one, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_one, complex_zero},
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{complex_zero, complex_zero, complex_zero, complex_mone}}};
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constexpr TwoQubitGateMatrix SWAPmat{{{complex_one, complex_zero, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_one, complex_zero},
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{complex_zero, complex_one, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_zero, complex_one}}};
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constexpr TwoQubitGateMatrix iSWAPmat{{{complex_one, complex_zero, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_i, complex_zero},
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{complex_zero, complex_i, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_zero, complex_one}}};
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constexpr TwoQubitGateMatrix iSWAPinvmat{{{complex_one, complex_zero, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_mi, complex_zero},
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{complex_zero, complex_mi, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_zero, complex_one}}};
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constexpr TwoQubitGateMatrix ECRmat{{{complex_zero, complex_zero, complex_SQRT2_2, complex_iSQRT2_2},
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{complex_zero, complex_zero, complex_iSQRT2_2, complex_SQRT2_2},
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{complex_SQRT2_2, complex_miSQRT2_2, complex_zero, complex_zero},
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{complex_miSQRT2_2, complex_SQRT2_2, complex_zero, complex_zero}}};
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constexpr TwoQubitGateMatrix DCXmat{{{complex_one, complex_zero, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_zero, complex_one},
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{complex_zero, complex_one, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_one, complex_zero}}};
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inline TwoQubitGateMatrix RXXmat(const fp theta) {
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const auto cosTheta = std::cos(theta / 2.);
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const auto sinTheta = std::sin(theta / 2.);
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return TwoQubitGateMatrix{{{ComplexValue{cosTheta, 0.}, complex_zero, complex_zero, ComplexValue{0., -sinTheta}},
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{complex_zero, ComplexValue{cosTheta, 0.}, ComplexValue{0., -sinTheta}, complex_zero},
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{complex_zero, ComplexValue{0., -sinTheta}, ComplexValue{cosTheta, 0.}, complex_zero},
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{ComplexValue{0., -sinTheta}, complex_zero, complex_zero, ComplexValue{cosTheta, 0.}}}};
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}
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inline TwoQubitGateMatrix RYYmat(const fp theta) {
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const auto cosTheta = std::cos(theta / 2.);
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const auto sinTheta = std::sin(theta / 2.);
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return TwoQubitGateMatrix{{{ComplexValue{cosTheta, 0.}, complex_zero, complex_zero, ComplexValue{0., sinTheta}},
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{complex_zero, ComplexValue{cosTheta, 0.}, ComplexValue{0., -sinTheta}, complex_zero},
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{complex_zero, ComplexValue{0., -sinTheta}, ComplexValue{cosTheta, 0.}, complex_zero},
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{ComplexValue{0., sinTheta}, complex_zero, complex_zero, ComplexValue{cosTheta, 0.}}}};
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}
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inline TwoQubitGateMatrix RZZmat(const fp theta) {
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const auto cosTheta = std::cos(theta / 2.);
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const auto sinTheta = std::sin(theta / 2.);
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return TwoQubitGateMatrix{{{ComplexValue{cosTheta, -sinTheta}, complex_zero, complex_zero, complex_zero},
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{complex_zero, ComplexValue{cosTheta, sinTheta}, complex_zero, complex_zero},
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{complex_zero, complex_zero, ComplexValue{cosTheta, sinTheta}, complex_zero},
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{complex_zero, complex_zero, complex_zero, ComplexValue{cosTheta, -sinTheta}}}};
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}
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inline TwoQubitGateMatrix RZXmat(const fp theta) {
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const auto cosTheta = std::cos(theta / 2.);
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const auto sinTheta = std::sin(theta / 2.);
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return TwoQubitGateMatrix{{{ComplexValue{cosTheta, 0.}, ComplexValue{0., -sinTheta}, complex_zero, complex_zero},
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{ComplexValue{0., -sinTheta}, ComplexValue{cosTheta, 0.}, complex_zero, complex_zero},
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{complex_zero, complex_zero, ComplexValue{cosTheta, 0.}, ComplexValue{0., sinTheta}},
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{complex_zero, complex_zero, ComplexValue{0., sinTheta}, ComplexValue{cosTheta, 0.}}}};
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}
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inline TwoQubitGateMatrix XXMinusYYmat(const fp theta, const fp beta = 0.) {
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const auto cosTheta = std::cos(theta / 2.);
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const auto sinTheta = std::sin(theta / 2.);
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const auto cosBeta = std::cos(beta);
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const auto sinBeta = std::sin(beta);
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return TwoQubitGateMatrix{{{ComplexValue{cosTheta, 0.}, complex_zero, complex_zero, ComplexValue{sinBeta * sinTheta, -cosBeta * sinTheta}},
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{complex_zero, complex_one, complex_zero, complex_zero},
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{complex_zero, complex_zero, complex_one, complex_zero},
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{ComplexValue{-sinBeta * sinTheta, -cosBeta * sinTheta}, complex_zero, complex_zero, ComplexValue{cosTheta, 0.}}}};
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}
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inline TwoQubitGateMatrix XXPlusYYmat(const fp theta, const fp beta = 0.) {
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const auto cosTheta = std::cos(theta / 2.);
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const auto sinTheta = std::sin(theta / 2.);
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const auto cosBeta = std::cos(beta);
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const auto sinBeta = std::sin(beta);
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return TwoQubitGateMatrix{{{complex_one, complex_zero, complex_zero, complex_zero},
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{complex_zero, ComplexValue{cosTheta, 0.}, ComplexValue{sinBeta * sinTheta, -cosBeta * sinTheta}, complex_zero},
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{complex_zero, ComplexValue{-sinBeta * sinTheta, -cosBeta * sinTheta}, ComplexValue{cosTheta, 0.}, complex_zero},
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{complex_zero, complex_zero, complex_zero, complex_one}}};
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}
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// NOLINTEND(readability-identifier-naming)
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} // namespace dd
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#endif //DD_PACKAGE_GATEMATRIXDEFINITIONS_H

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