cqlib-core 0.1.0-beta.4

The high-performance core foundation for the CQLib quantum computing ecosystem.
Documentation 
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// This code is part of Cqlib.
//
// (C) Copyright China Telecom Quantum Group 2026
//
// This code is licensed under the Apache License, Version 2.0. You may
// obtain a copy of this license in the LICENSE.txt file in the root directory
// of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
//
// Any modifications or derivative works of this code must retain this
// copyright notice, and modified files need to carry a notice indicating
// that they have been altered from the originals.

// Single-qubit parameterized decomposition rules.
//
// These rules own RX/RY/RZ interconversion, XY-plane rotations, and U decompositions.

rule decompose_rxy_to_rz_rx {
    match { RXY(theta, phi) 0 }
    rewrite { RZ(-phi) 0, RX(theta) 0, RZ(phi) 0 }
}

rule decompose_rxy_to_rz_ry {
    match { RXY(theta, phi) 0 }
    rewrite { RZ(π/2 - phi) 0, RY(theta) 0, RZ(phi - π/2) 0 }
}

rule decompose_xy_to_rxy {
    match { XY(phi) 0 }
    rewrite { RXY(π, phi) 0 }
}

rule decompose_xy_to_rz_rx {
    match { XY(phi) 0 }
    rewrite { RZ(-phi) 0, RX(π) 0, RZ(phi) 0 }
}

rule decompose_xy_to_rz_ry {
    match { XY(phi) 0 }
    rewrite { RZ(π/2 - phi) 0, RY(π) 0, RZ(phi - π/2) 0 }
}

rule decompose_xy2p_to_rxy {
    match { XY2P(phi) 0 }
    rewrite { RXY(π/2, phi) 0 }
}

rule decompose_xy2p_to_rz_rx {
    match { XY2P(phi) 0 }
    rewrite { RZ(-phi) 0, RX(π/2) 0, RZ(phi) 0 }
}

rule decompose_xy2p_to_rz_ry {
    match { XY2P(phi) 0 }
    rewrite { RZ(π/2 - phi) 0, RY(π/2) 0, RZ(phi - π/2) 0 }
}

rule decompose_xy2m_to_rxy {
    match { XY2M(phi) 0 }
    rewrite { RXY(-π/2, phi) 0 }
}

rule decompose_xy2m_to_rz_rx {
    match { XY2M(phi) 0 }
    rewrite { RZ(-phi) 0, RX(-π/2) 0, RZ(phi) 0 }
}

rule decompose_xy2m_to_rz_ry {
    match { XY2M(phi) 0 }
    rewrite { RZ(π/2 - phi) 0, RY(-π/2) 0, RZ(phi - π/2) 0 }
}

rule decompose_rxy_to_rx_ry {
    match { RXY(theta, phi) 0 }
    rewrite { RX(-π/2) 0, RY(-phi) 0, RX(theta) 0, RY(phi) 0, RX(π/2) 0 }
}

rule decompose_xy_to_rx_ry {
    match { XY(phi) 0 }
    rewrite { RX(-π/2) 0, RY(-phi) 0, RX(π) 0, RY(phi) 0, RX(π/2) 0 }
}

rule decompose_xy2p_to_rx_ry {
    match { XY2P(phi) 0 }
    rewrite { RX(-π/2) 0, RY(-phi) 0, RX(π/2) 0, RY(phi) 0, RX(π/2) 0 }
}

rule decompose_xy2m_to_rx_ry {
    match { XY2M(phi) 0 }
    rewrite { RX(-π/2) 0, RY(-phi) 0, RX(-π/2) 0, RY(phi) 0, RX(π/2) 0 }
}

rule decompose_u_to_rx_ry {
    match { U(theta, phi, lambda) 0 }
    rewrite { RX(-π/2) 0, RY(lambda - π/2) 0, RX(theta) 0, RY(phi + π/2) 0, RX(π/2) 0, GPhase((phi + lambda) / 2) }
}

rule decompose_rx_to_ry {
    match { RX(theta) 0 }
    rewrite { RZ(π/2) 0, RY(theta) 0, RZ(-π/2) 0 }
}

rule decompose_ry_to_rx {
    match { RY(theta) 0 }
    rewrite { RZ(-π/2) 0, RX(theta) 0, RZ(π/2) 0 }
}

rule decompose_rx_to_rz {
    match { RX(theta) 0 }
    rewrite { RY(-π/2) 0, RZ(theta) 0, RY(π/2) 0 }
}

rule decompose_rz_to_rx {
    match { RZ(theta) 0 }
    rewrite { RY(π/2) 0, RX(theta) 0, RY(-π/2) 0 }
}

rule decompose_ry_to_rz {
    match { RY(theta) 0 }
    rewrite { RX(π/2) 0, RZ(theta) 0, RX(-π/2) 0 }
}

rule decompose_rz_to_ry {
    match { RZ(theta) 0 }
    rewrite { RX(-π/2) 0, RY(theta) 0, RX(π/2) 0 }
}

rule decompose_rx_to_h_rz {
    match { RX(theta) 0 }
    rewrite { H 0, RZ(theta) 0, H 0 }
}

rule decompose_ry_to_h_rz {
    match { RY(theta) 0 }
    rewrite { RZ(-π/2) 0, H 0, RZ(theta) 0, H 0, RZ(π/2) 0 }
}

rule decompose_rz_to_h_rx {
    match { RZ(theta) 0 }
    rewrite { H 0, RX(theta) 0, H 0 }
}

rule decompose_u_to_zyz {
    match { U(theta, phi, lambda) 0 }
    rewrite { RZ(lambda) 0, RY(theta) 0, RZ(phi) 0, GPhase((phi + lambda) / 2) }
}

rule decompose_u_to_zxz {
    match { U(theta, phi, lambda) 0 }
    rewrite { RZ(lambda - π/2) 0, RX(theta) 0, RZ(phi + π/2) 0, GPhase((phi + lambda) / 2) }
}

rule decompose_u_to_rxy_rz {
    match { U(theta, phi, lambda) 0 }
    rewrite { RZ(lambda - π/2) 0, RXY(theta, 0) 0, RZ(phi + π/2) 0, GPhase((phi + lambda) / 2) }
}

rule decompose_u_to_xy2p_rz {
    match { U(theta, phi, lambda) 0 }
    rewrite { RZ(lambda) 0, X2P 0, RZ(theta) 0, X2M 0, RZ(phi) 0, GPhase((phi + lambda) / 2) }
}

rule decompose_u_to_y2p_rz {
    match { U(theta, phi, lambda) 0 }
    rewrite { RZ(lambda - π/2) 0, Y2M 0, RZ(theta) 0, Y2P 0, RZ(phi + π/2) 0, GPhase((phi + lambda) / 2) }
}

rule decompose_u_to_xy_basis {
    match { U(theta, phi, lambda) 0 }
    rewrite { RZ(lambda) 0, XY2P(0) 0, RZ(theta) 0, XY2M(0) 0, RZ(phi) 0, GPhase((phi + lambda) / 2) }
}