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ref_non_clifford.py
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# This code is part of Qiskit.
#
# (C) Copyright IBM 2018, 2019.
#
# 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.
"""
Test circuits and reference outputs for non-Clifford gate instructions.
"""
import numpy as np
from qiskit import QuantumRegister, ClassicalRegister, QuantumCircuit
# ==========================================================================
# T-gate
# ==========================================================================
def t_gate_circuits_deterministic(final_measure=True):
"""T-gate test circuits with deterministic counts."""
circuits = []
qr = QuantumRegister(1)
if final_measure:
cr = ClassicalRegister(1)
regs = (qr, cr)
else:
regs = (qr,)
# T
circuit = QuantumCircuit(*regs)
circuit.t(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# T.X
circuit = QuantumCircuit(*regs)
circuit.x(qr)
circuit.barrier(qr)
circuit.t(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def t_gate_counts_deterministic(shots, hex_counts=True):
"""T-gate circuits reference counts."""
targets = []
if hex_counts:
# T
targets.append({"0x0": shots})
# T.X
targets.append({"0x1": shots})
else:
# T
targets.append({"0": shots})
# T.X
targets.append({"1": shots})
return targets
def t_gate_statevector_deterministic():
"""T-gate circuits reference statevectors."""
targets = []
# T
targets.append(np.array([1, 0]))
# T.X
targets.append(np.array([0, 1 + 1j]) / np.sqrt(2))
return targets
def t_gate_unitary_deterministic():
"""T-gate circuits reference unitaries."""
targets = []
# T
targets.append(np.diag([1, (1 + 1j) / np.sqrt(2)]))
# T.X
targets.append(np.array([[0, 1], [(1 + 1j) / np.sqrt(2), 0]]))
return targets
def t_gate_circuits_nondeterministic(final_measure=True):
"""T-gate test circuits with non-deterministic counts."""
circuits = []
qr = QuantumRegister(1)
if final_measure:
cr = ClassicalRegister(1)
regs = (qr, cr)
else:
regs = (qr,)
# T.H
circuit = QuantumCircuit(*regs)
circuit.h(qr)
circuit.barrier(qr)
circuit.t(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# X.T.H
circuit = QuantumCircuit(*regs)
circuit.h(qr)
circuit.barrier(qr)
circuit.t(qr)
circuit.barrier(qr)
circuit.x(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# H.T.T.H = H.S.H
circuit = QuantumCircuit(*regs)
circuit.h(qr)
circuit.barrier(qr)
circuit.t(qr)
circuit.barrier(qr)
circuit.t(qr)
circuit.barrier(qr)
circuit.h(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def t_gate_counts_nondeterministic(shots, hex_counts=True):
"""T-gate circuits reference counts."""
targets = []
if hex_counts:
# T.H
targets.append({"0x0": shots / 2, "0x1": shots / 2})
# X.T.H
targets.append({"0x0": shots / 2, "0x1": shots / 2})
# H.T.T.H = H.S.H
targets.append({"0x0": shots / 2, "0x1": shots / 2})
else:
# T.H
targets.append({"0": shots / 2, "1": shots / 2})
# X.T.H
targets.append({"0": shots / 2, "1": shots / 2})
# H.T.T.H = H.S.H
targets.append({"0": shots / 2, "1": shots / 2})
return targets
def t_gate_statevector_nondeterministic():
"""T-gate circuits reference statevectors."""
targets = []
# T.H
targets.append(np.array([1 / np.sqrt(2), 0.5 + 0.5j]))
# X.T.H
targets.append(np.array([0.5 + 0.5j, 1 / np.sqrt(2)]))
# H.T.T.H = H.S.H
targets.append(np.array([1 + 1j, 1 - 1j]) / 2)
return targets
def t_gate_unitary_nondeterministic():
"""T-gate circuits reference unitaries."""
targets = []
# T.H
targets.append(np.array([[1 / np.sqrt(2), 1 / np.sqrt(2)], [0.5 + 0.5j, -0.5 - 0.5j]]))
# X.T.H
targets.append(np.array([[0.5 + 0.5j, -0.5 - 0.5j], [1 / np.sqrt(2), 1 / np.sqrt(2)]]))
# H.T.T.H = H.S.H
targets.append(np.array([[1 + 1j, 1 - 1j], [1 - 1j, 1 + 1j]]) / 2)
return targets
# ==========================================================================
# T^dagger-gate
# ==========================================================================
def tdg_gate_circuits_deterministic(final_measure=True):
"""Tdg-gate test circuits with deterministic counts."""
circuits = []
qr = QuantumRegister(1)
if final_measure:
cr = ClassicalRegister(1)
regs = (qr, cr)
else:
regs = (qr,)
# Tdg
circuit = QuantumCircuit(*regs)
circuit.tdg(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# H.Tdg.T.H = I
circuit = QuantumCircuit(*regs)
circuit.h(qr)
circuit.barrier(qr)
circuit.t(qr)
circuit.barrier(qr)
circuit.tdg(qr)
circuit.barrier(qr)
circuit.h(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def tdg_gate_counts_deterministic(shots, hex_counts=True):
"""Sdg-gate circuits reference counts."""
targets = []
if hex_counts:
# Tdg
targets.append({"0x0": shots})
# H.Tdg.T.H = I
targets.append({"0x0": shots})
else:
# Tdg
targets.append({"0": shots})
# H.Tdg.T.H = I
targets.append({"0": shots})
return targets
def tdg_gate_statevector_deterministic():
"""Sdg-gate circuits reference statevectors."""
targets = []
# Tdg
targets.append(np.array([1, 0]))
# H.Tdg.T.H = I
targets.append(np.array([1, 0]))
return targets
def tdg_gate_unitary_deterministic():
"""Tdg-gate circuits reference unitaries."""
targets = []
# Tdg
targets.append(np.diag([1, (1 - 1j) / np.sqrt(2)]))
# H.Tdg.T.H = I
targets.append(np.eye(2))
return targets
def tdg_gate_circuits_nondeterministic(final_measure=True):
"""Tdg-gate test circuits with non-deterministic counts."""
circuits = []
qr = QuantumRegister(1)
if final_measure:
cr = ClassicalRegister(1)
regs = (qr, cr)
else:
regs = (qr,)
# Tdg.H
circuit = QuantumCircuit(*regs)
circuit.h(qr)
circuit.barrier(qr)
circuit.tdg(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# X.Tdg.H
circuit = QuantumCircuit(*regs)
circuit.h(qr)
circuit.barrier(qr)
circuit.tdg(qr)
circuit.barrier(qr)
circuit.x(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# H.Tdg.Tdg.H = H.Sdg.H
circuit = QuantumCircuit(*regs)
circuit.h(qr)
circuit.barrier(qr)
circuit.tdg(qr)
circuit.barrier(qr)
circuit.tdg(qr)
circuit.barrier(qr)
circuit.h(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def tdg_gate_counts_nondeterministic(shots, hex_counts=True):
"""Tdg-gate circuits reference counts."""
targets = []
if hex_counts:
# Tdg.H
targets.append({"0x0": shots / 2, "0x1": shots / 2})
# X.Tdg.H
targets.append({"0x0": shots / 2, "0x1": shots / 2})
# H.Tdg.Tdg.H = H.Sdg.H
targets.append({"0x0": shots / 2, "0x1": shots / 2})
else:
# Tdg.H
targets.append({"0": shots / 2, "1": shots / 2})
# X.Tdg.H
targets.append({"0": shots / 2, "1": shots / 2})
# H.Tdg.Tdg.H = H.Sdg.H
targets.append({"0": shots / 2, "1": shots / 2})
return targets
def tdg_gate_statevector_nondeterministic():
"""Tdg-gate circuits reference statevectors."""
targets = []
# Tdg.H
targets.append(np.array([1 / np.sqrt(2), 0.5 - 0.5j]))
# X.Tdg.H
targets.append(np.array([0.5 - 0.5j, 1 / np.sqrt(2)]))
# H.Tdg.Tdg.H = H.Sdg.H
targets.append(np.array([1 - 1j, 1 + 1j]) / 2)
return targets
def tdg_gate_unitary_nondeterministic():
"""Tdg-gate circuits reference unitaries."""
targets = []
# Tdg.H
targets.append(np.array([[1 / np.sqrt(2), 1 / np.sqrt(2)], [0.5 - 0.5j, -0.5 + 0.5j]]))
# X.Tdg.H
targets.append(np.array([[0.5 - 0.5j, -0.5 + 0.5j], [1 / np.sqrt(2), 1 / np.sqrt(2)]]))
# H.Tdg.Tdg.H = H.Sdg.H
targets.append(np.array([[1 - 1j, 1 + 1j], [1 + 1j, 1 - 1j]]) / 2)
return targets
# ==========================================================================
# CCX-gate
# ==========================================================================
def ccx_gate_circuits_deterministic(final_measure=True):
"""CCX-gate test circuits with deterministic counts."""
circuits = []
qr = QuantumRegister(3)
if final_measure:
cr = ClassicalRegister(3)
regs = (qr, cr)
else:
regs = (qr,)
# CCX(0,1,2)
circuit = QuantumCircuit(*regs)
circuit.ccx(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# (I^X^X).CCX(0,1,2).(I^X^X) -> |100>
circuit = QuantumCircuit(*regs)
circuit.x(qr[0])
circuit.barrier(qr)
circuit.x(qr[1])
circuit.barrier(qr)
circuit.ccx(qr[0], qr[1], qr[2])
circuit.barrier(qr)
circuit.x(qr[0])
circuit.barrier(qr)
circuit.x(qr[1])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CCX(2,1,0)
circuit = QuantumCircuit(*regs)
circuit.ccx(qr[2], qr[1], qr[0])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# (X^X^I).CCX(2,1,0).(X^X^I) -> |001>
circuit = QuantumCircuit(*regs)
circuit.x(qr[1])
circuit.barrier(qr)
circuit.x(qr[2])
circuit.barrier(qr)
circuit.ccx(qr[2], qr[1], qr[0])
circuit.barrier(qr)
circuit.x(qr[1])
circuit.barrier(qr)
circuit.x(qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def ccx_gate_counts_deterministic(shots, hex_counts=True):
"""CCX-gate circuits reference counts."""
targets = []
if hex_counts:
# CCX(0,1,2)
targets.append({"0x0": shots})
# (I^X^X).CCX(0,1,2).(I^X^X) -> |100>
targets.append({"0x4": shots})
# CCX(2,1,0)
targets.append({"0x0": shots})
# (X^X^I).CCX(2,1,0).(X^X^I) -> |001>
targets.append({"0x1": shots})
else:
# CCX(0,1,2)
targets.append({"000": shots})
# (I^X^X).CCX(0,1,2).(I^X^X) -> |100>
targets.append({"000": shots})
# CCX(2,1,0)
targets.append({"000": shots})
# (X^X^I).CCX(2,1,0).(X^X^I) -> |001>
targets.append({"001": shots})
return targets
def ccx_gate_statevector_deterministic():
"""CCX-gate circuits reference statevectors."""
targets = []
zero_state = np.array([1, 0, 0, 0, 0, 0, 0, 0])
# CCX(0,1,2)
targets.append(zero_state)
# (I^X^X).CCX(0,1,2).(I^X^X) -> |100>
targets.append(np.array([0, 0, 0, 0, 1, 0, 0, 0]))
# CCX(2,1,0)
targets.append(zero_state)
# (X^X^I).CCX(2,1,0).(X^X^I) -> |001>
targets.append(np.array([0, 1, 0, 0, 0, 0, 0, 0]))
return targets
def ccx_gate_unitary_deterministic():
"""CCX-gate circuits reference unitaries."""
targets = []
# CCX(0,1,2)
targets.append(
np.array(
[
[1, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 1, 0, 0, 0, 0],
]
)
)
# (I^X^X).CCX(0,1,2).(I^X^X) -> |100>
targets.append(
np.array(
[
[0, 0, 0, 0, 1, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 1],
]
)
)
# CCX(2,1,0)
targets.append(
np.array(
[
[1, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 1, 0],
]
)
)
# (X^X^I).CCX(2,1,0).(X^X^I) -> |001>
targets.append(
np.array(
[
[0, 1, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 1],
]
)
)
return targets
def ccx_gate_circuits_nondeterministic(final_measure=True):
"""CCX-gate test circuits with non-deterministic counts."""
circuits = []
qr = QuantumRegister(3)
if final_measure:
cr = ClassicalRegister(3)
regs = (qr, cr)
else:
regs = (qr,)
# (I^X^I).CCX(0,1,2).(I^X^H) -> |000> + |101>
circuit = QuantumCircuit(*regs)
circuit.h(qr[0])
circuit.barrier(qr)
circuit.x(qr[1])
circuit.barrier(qr)
circuit.ccx(qr[0], qr[1], qr[2])
circuit.barrier(qr)
circuit.x(qr[1])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# (X^I^I).CCX(2,1,0).(X^H^I) -> |000> + |011>
circuit = QuantumCircuit(*regs)
circuit.h(qr[1])
circuit.barrier(qr)
circuit.x(qr[2])
circuit.barrier(qr)
circuit.ccx(qr[2], qr[1], qr[0])
circuit.barrier(qr)
circuit.x(qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def ccx_gate_counts_nondeterministic(shots, hex_counts=True):
"""CCX-gate circuits reference counts."""
targets = []
if hex_counts:
# (I^X^I).CCX(0,1,2).(I^X^H) -> |000> + |101>
targets.append({"0x0": shots / 2, "0x5": shots / 2})
# (X^I^I).CCX(2,1,0).(X^H^I) -> |000> + |011>
targets.append({"0x0": shots / 2, "0x3": shots / 2})
else:
# (I^X^I).CCX(0,1,2).(I^X^H) -> |000> + |101>
targets.append({"000": shots / 2, "101": shots / 2})
# (X^I^I).CCX(2,1,0).(X^H^I) -> |000> + |011>
targets.append({"000": shots / 2, "011": shots / 2})
return targets
def ccx_gate_statevector_nondeterministic():
"""CCX-gate circuits reference statevectors."""
targets = []
# (I^X^I).CCX(0,1,2).(I^X^H) -> |000> + |101>
targets.append(np.array([1, 0, 0, 0, 0, 1, 0, 0]) / np.sqrt(2))
# (X^I^I).CCX(2,1,0).(X^H^I) -> |000> + |011>
targets.append(np.array([1, 0, 0, 1, 0, 0, 0, 0]) / np.sqrt(2))
return targets
def ccx_gate_unitary_nondeterministic():
"""CCX-gate circuits reference unitaries."""
targets = []
# (I^X^I).CCX(0,1,2).(I^X^H) -> |000> + |101>
targets.append(
np.array(
[
[1, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, -1, 0, 0],
[0, 0, 1, 1, 0, 0, 0, 0],
[0, 0, 1, -1, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 1, 0, 0],
[1, -1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1],
[0, 0, 0, 0, 0, 0, 1, -1],
]
)
/ np.sqrt(2)
)
# (X^I^I).CCX(2,1,0).(X^H^I) -> |000> + |011>
targets.append(
np.array(
[
[1, 0, 1, 0, 0, 0, 0, 0],
[0, 1, 0, 1, 0, 0, 0, 0],
[0, 1, 0, -1, 0, 0, 0, 0],
[1, 0, -1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 1, 0],
[0, 0, 0, 0, 0, 1, 0, 1],
[0, 0, 0, 0, 1, 0, -1, 0],
[0, 0, 0, 0, 0, 1, 0, -1],
]
)
/ np.sqrt(2)
)
return targets
# ==========================================================================
# CSWAP-gate (Fredkin)
# ==========================================================================
def cswap_gate_circuits_deterministic(final_measure):
"""cswap-gate test circuits with deterministic counts."""
circuits = []
qr = QuantumRegister(3)
if final_measure:
cr = ClassicalRegister(3)
regs = (qr, cr)
else:
regs = (qr,)
# CSWAP(0,1,2) # -> |000>
circuit = QuantumCircuit(*regs)
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(X^I^I) -> |100>
circuit = QuantumCircuit(*regs)
circuit.x(qr[2])
circuit.barrier(qr)
circuit.cswap(qr[0], qr[1], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(I^X^I) -> |010>
circuit = QuantumCircuit(*regs)
circuit.x(qr[1])
circuit.barrier(qr)
circuit.cswap(qr[0], qr[1], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(X^X^I) -> |110>
circuit = QuantumCircuit(*regs)
circuit.x(qr[1])
circuit.x(qr[2])
circuit.barrier(qr)
circuit.cswap(qr[0], qr[1], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(I^I^X) -> |001>
circuit = QuantumCircuit(*regs)
circuit.x(qr[0])
circuit.barrier(qr)
circuit.cswap(qr[0], qr[1], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(I^X^X -> |101>
circuit = QuantumCircuit(*regs)
circuit.x(qr[0])
circuit.x(qr[1])
circuit.barrier(qr)
circuit.cswap(qr[0], qr[1], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(X^I^X) -> |011>
circuit = QuantumCircuit(*regs)
circuit.x(qr[0])
circuit.x(qr[2])
circuit.barrier(qr)
circuit.cswap(qr[0], qr[1], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(X^X^X) -> |111>
circuit = QuantumCircuit(*regs)
circuit.x(qr[0])
circuit.x(qr[1])
circuit.x(qr[2])
circuit.barrier(qr)
circuit.cswap(qr[0], qr[1], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(1,0,2).(I^X^X) -> |110>
circuit = QuantumCircuit(*regs)
circuit.x(qr[0])
circuit.x(qr[1])
circuit.barrier(qr)
circuit.cswap(qr[1], qr[0], qr[2])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(2,1,0).(X^I^X) -> |110>
circuit = QuantumCircuit(*regs)
circuit.x(qr[0])
circuit.x(qr[2])
circuit.barrier(qr)
circuit.cswap(qr[2], qr[1], qr[0])
circuit.barrier(qr)
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def cswap_gate_counts_deterministic(shots, hex_counts=True):
""" "cswap-gate circuits reference counts."""
targets = []
if hex_counts:
# CSWAP(0,1,2) # -> |000>
targets.append({"0x0": shots})
# CSWAP(0,1,2).(X^I^I) -> |100>
targets.append({"0x4": shots})
# CSWAP(0,1,2).(I^X^I) -> |010>
targets.append({"0x2": shots})
# CSWAP(0,1,2).(X^X^I) -> |110>
targets.append({"0x6": shots})
# CSWAP(0,1,2).(I^I^X). -> |001>
targets.append({"0x1": shots})
# CSWAP(0,1,2).(I^X^X) -> |101>
targets.append({"0x5": shots})
# CSWAP(0,1,2).(X^I^X) -> |011>
targets.append({"0x3": shots})
# CSWAP(0,1,2).(X^X^X) -> |111>
targets.append({"0x7": shots})
# CSWAP(1,0,2).(I^X^X) -> |110>
targets.append({"0x6": shots})
# CSWAP(2,1,0).(X^I^X) -> |110>
targets.append({"0x6": shots})
else:
# CSWAP(0,1,2) # -> |000>
targets.append({"000": shots})
# CSWAP(0,1,2).(X^I^I) -> |100>
targets.append({"100": shots})
# CSWAP(0,1,2).(I^X^I) -> |010>
targets.append({"010": shots})
# CSWAP(0,1,2).(X^X^I) -> |110>
targets.append({"110": shots})
# CSWAP(0,1,2).(I^I^X) -> |001>
targets.append({"001": shots})
# CSWAP(0,1,2).(I^X^X) -> |101>
targets.append({"101": shots})
# CSWAP(0,1,2).(X^I^X) -> |011>
targets.append({"011": shots})
# CSWAP(0,1,2).(X^X^X) -> |111>
targets.append({"111": shots})
# CSWAP(1,0,2).(I^X^X) -> |110>
targets.append({"110": shots})
# CSWAP(2,1,0).(X^I^X) -> |110>
targets.append({"110": shots})
return targets
def cswap_gate_circuits_nondeterministic(final_measure=True):
"""cswap-gate test circuits with deterministic counts."""
circuits = []
qr = QuantumRegister(3)
if final_measure:
cr = ClassicalRegister(3)
regs = (qr, cr)
else:
regs = (qr,)
# CSWAP(0,1,2).(H^H^H)
circuit = QuantumCircuit(*regs)
circuit.h(qr[0])
circuit.h(qr[1])
circuit.h(qr[2])
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(X^I^H). -> |100> + |011>
circuit = QuantumCircuit(*regs)
circuit.h(qr[0])
circuit.x(qr[2])
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(I^X^H). -> |010> + |101>
circuit = QuantumCircuit(*regs)
circuit.h(qr[0])
circuit.x(qr[1])
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(I^H^I) -> |010>+|000>
circuit = QuantumCircuit(*regs)
circuit.h(qr[1])
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(H^I^I) -> |100>+|000>
circuit = QuantumCircuit(*regs)
circuit.h(qr[2])
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(I^I^H) -> |001>+|000>
circuit = QuantumCircuit(*regs)
circuit.h(qr[0])
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
# CSWAP(0,1,2).(X^X^H) -> |110> + |111>
circuit = QuantumCircuit(*regs)
circuit.h(qr[0])
circuit.x(qr[1])
circuit.x(qr[2])
circuit.cswap(qr[0], qr[1], qr[2])
if final_measure:
circuit.barrier(qr)
circuit.measure(qr, cr)
circuits.append(circuit)
return circuits
def cswap_gate_counts_nondeterministic(shots, hex_counts=True):
targets = []
if hex_counts:
# CSWAP(0,1,2).(H^H^H) -> |--->
targets.append(
{
"0x0": shots / 8,
"0x1": shots / 8,
"0x2": shots / 8,
"0x3": shots / 8,
"0x4": shots / 8,
"0x5": shots / 8,
"0x6": shots / 8,
"0x7": shots / 8,
}
)
# CSWAP(0,1,2).(X^I^H). -> |100> + |011>
targets.append({"0x3": shots / 2, "0x4": shots / 2})
# CSWAP(0,1,2).(I^X^H). -> |010> + |101>
targets.append({"0x2": shots / 2, "0x5": shots / 2})
# CSWAP(0,1,2).(I^H^I) -> |0-0>
targets.append({"0x2": shots / 2, "0x0": shots / 2})
# CSWAP(0,1,2).(H^I^I) -> |-00>
targets.append({"0x4": shots / 2, "0x0": shots / 2})
# CSWAP(0,1,2).(I^I^H) -> |00->
targets.append({"0x0": shots / 2, "0x1": shots / 2})
# CSWAP(0,1,2).(X^X^H) -> |110> + |111>
targets.append({"0x6": shots / 2, "0x7": shots / 2})
else:
# CSWAP(0,1,2).(H^H^H) -> |--->
targets.append(
{
"000": shots / 8,
"001": shots / 8,
"010": shots / 8,
"011": shots / 8,
"100": shots / 8,
"101": shots / 8,
"110": shots / 8,
"111": shots / 8,
}
)
# CSWAP(0,1,2).(X^I^H). -> |100> + |011>
targets.append({"011": shots / 2, "100": shots / 2})
# CSWAP(0,1,2).(I^X^H). -> |010> + |101>
targets.append({"010": shots / 2, "101": shots / 2})
# CSWAP(0,1,2).(I^H^I) -> |0-0>
targets.append({"010": shots / 2, "000": shots / 2})
# CSWAP(0,1,2).(H^I^I) -> |-00>
targets.append({"100": shots / 2, "000": shots / 2})
# CSWAP(0,1,2).(I^I^H) -> |00->
targets.append({"001": shots / 2, "000": shots / 2})
# CSWAP(0,1,2).(X^X^H) -> |110> + |111>
targets.append({"110": shots / 2, "111": shots / 2})
return targets
def cswap_gate_statevector_deterministic():
targets = []
# CSWAP(0,1,2) # -> |000>
targets.append(np.array([1, 0, 0, 0, 0, 0, 0, 0]))
# CSWAP(0,1,2).(X^I^I) -> |100>
targets.append(np.array([0, 0, 0, 0, 1, 0, 0, 0]))
# CSWAP(0,1,2).(I^X^I) -> |010>
targets.append(np.array([0, 0, 1, 0, 0, 0, 0, 0]))
# CSWAP(0,1,2).(X^X^I) -> |110>
targets.append(np.array([0, 0, 0, 0, 0, 0, 1, 0]))
# CSWAP(0,1,2).(I^I^X) -> |001>
targets.append(np.array([0, 1, 0, 0, 0, 0, 0, 0]))
# CSWAP(0,1,2).(I^X^X) -> |101>
targets.append(np.array([0, 0, 0, 0, 0, 1, 0, 0]))
# CSWAP(0,1,2).(X^I^X) -> |011>
targets.append(np.array([0, 0, 0, 1, 0, 0, 0, 0]))
# CSWAP(0,1,2).(X^X^X) -> |111>
targets.append(np.array([0, 0, 0, 0, 0, 0, 0, 1]))
# CSWAP(1,0,2).(I^X^X) -> |110>
targets.append(np.array([0, 0, 0, 0, 0, 0, 1, 0]))
# CSWAP(2,1,0).(X^I^X) -> |110>
targets.append(np.array([0, 0, 0, 0, 0, 0, 1, 0]))
return targets
def cswap_gate_statevector_nondeterministic():
targets = []
# CSWAP(0,1,2).(H^H^H) -> |--->
targets.append(np.array([1, 1, 1, 1, 1, 1, 1, 1]) / np.sqrt(8))
# CSWAP(0,1,2).(X^I^H). -> |100> + |011>
targets.append(np.array([0, 0, 0, 1, 1, 0, 0, 0]) / np.sqrt(2))
# CSWAP(0,1,2).(I^X^H). -> |010> + |101>
targets.append(np.array([0, 0, 1, 0, 0, 1, 0, 0]) / np.sqrt(2))
# CSWAP(0,1,2).(I^H^I) -> |0-0>
targets.append(np.array([1, 0, 1, 0, 0, 0, 0, 0]) / np.sqrt(2))
# CSWAP(0,1,2).(H^I^I) -> |-00>
targets.append(np.array([1, 0, 0, 0, 1, 0, 0, 0]) / np.sqrt(2))
# CSWAP(0,1,2).(I^I^H) -> |00->
targets.append(np.array([1, 1, 0, 0, 0, 0, 0, 0]) / np.sqrt(2))
# CSWAP(0,1,2).(X^X^H) -> |110> + |111>
targets.append(np.array([0, 0, 0, 0, 0, 0, 1, 1]) / np.sqrt(2))
return targets
def cswap_gate_unitary_deterministic():
"""cswap-gate circuits reference unitaries."""
targets = []
# CSWAP(0,1,2) # -> |000>
targets.append(
np.array(
[
[1, 0, 0, 0, 0, 0, 0, 0],