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note.txt
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note.txt
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2.qasm
cx q[4], q[1];
cx q[1], q[2];
x q[3];
cx q[4], q[1];
"0_2" = "EquivalanceSeq ID + '_' + EquivalanceClass Num"
1,0,0,2 = Qubits num, input Paras num, total Paras num, Gates num
["1445fd915362c"] = ["Hash Value"]
[-6.34089418761115464e-01,-3.26706732953894963e-01] = [fingerPrint real, fingerPrint imaginary]
[["t", ["Q0"],["Q0"]],["x", ["Q0"],["Q0"]]] = [["Gate name",[Para list],[Para list]],["Gate name",[Para list],[Para list]],]
Para list = Q for Qubit + ID; P for Para + ID
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
["z", ["Q0"],["Q0"]],["h", ["Q0"],["Q0"]],["y", ["Q1"],["Q1"]],["cx", ["Q1", "Q0"],["Q1", "Q0"]]0,
num of eccs = 86
num of transformations = 246
num of eccs = 126
num of transformations = 366
num of eccs = 13061
num of transformations = 31543
eccs.size() = 13061
num of patterns_with_cost_limit = 6272 2023.5.5
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
{
"gates": [
{
"gateName": "X",
"qubitNum": 1,
"angleNum": 0,
"cost": 1
},{
"gateName": "Y",
"qubitNum": 1,
"angleNum": 0,
"cost": 1
},{
"gateName": "Z",
"qubitNum": 1,
"angleNum": 0,
"cost": 1
},{
"gateName": "H",
"qubitNum": 1,
"angleNum": 0,
"cost": 1
},
{
"gateName": "RZ",
"qubitNum": 1,
"angleNum": 1,
"cost": 1
},
{
"gateName": "CNOT",
"qubitNum": 2,
"angleNum": 0,
"cost": 4
}
],
["z", ["Q0"],["Q0"]],["x", ["Q2"],["Q2"]],["cx", ["Q2", "Q0"],["Q2", "Q0"]]
"CNOT": [2, 1],
"CNOT": [0, 3],
"CNOT": [1, 3],
"RZ": [3, "theta_1"],
"CNOT": [1, 3],
"CNOT": [2, 3],
"RZ": [3, "theta_2"],
"CNOT": [0, 3],
"RZ": [3, "theta_3"],
"CNOT": [1, 3],
"RZ": [3, "theta_4"]
Num_total_dags = 324, num_equivalence_classes = 109
*** Number of transformations of 3_2_3 = 430
//insert new_dag no matter whether it can be inserted into a ecc
Num_total_dags = 414, num_equivalence_classes = 121
*** Number of transformations of 3_2_3 = 586
There is a circuit:
"CNOT": [2, 1],"CNOT": [0, 3],"CNOT": [1, 3],"RZ": [3, "theta_1"],"CNOT": [1, 3],"CNOT": [2, 3],"RZ": [3, "theta_2"],"CNOT": [0, 3],"RZ": [3, "theta_3"],"CNOT": [1, 3],"RZ": [3, "theta_4"]
The representative of the ECC this circuit belongs to is:
"CNOT": [2, 3],"RZ": [3, "theta_3"],"CNOT": [0, 3],"RZ": [3, "theta_2"],"CNOT": [1, 3],"RZ": [1, "theta_1"],"CNOT": [0, 3],"CNOT": [2, 3],"RZ": [3, "theta_4"],"CNOT": [2, 1]
however, there is another circuit:
"CNOT": [2, 1],"CNOT": [0, 3],"CNOT": [1, 3],"RZ": [3, "theta_1"],"CNOT": [1, 3],"CNOT": [2, 3],"RZ": [3, "theta_2"],"CNOT": [0, 3],"RZ": [3, "theta_3"],"CNOT": [1, 3],"RZ": [3, "theta_4"],"CNOT": [2, 3],"CNOT": [1, 3]
The representative of the ECC this circuit belongs to is:
"CNOT": [2, 3],"RZ": [3, "theta_3"],"CNOT": [0, 3],"RZ": [3, "theta_2"],"CNOT": [1, 3],"RZ": [3, "theta_1"],"CNOT": [0, 3],"CNOT": [2, 3],"RZ": [3, "theta_4"],"CNOT": [1, 3],"CNOT": [2, 1]
see? They are too different transformations, however, the second transformation cannot be generated by Quartz, due to the limitation that Quartz generates dags from representatives. Is this an imperfection of Quartz, or I misunderstand? I would really appreciate it if you could clear me up.
"p20753": [
{
"qubits": 3,
"src": {
"cost": 4,
"circuit": {
"CNOT": [1, 0],
"Y": [0],
"CNOT": [1, 2],
"Y": [1]
}
},
"dst": {
"cost": 4,
"circuit": {
"Y": [0],
"CNOT": [1, 0],
"CNOT": [1, 2],
"X": [1]
}
}
}
],
"p271429": [
{
"qubits": 3,
"src": {
"cost": 5,
"circuit": {
"CNOT": [1, 0],
"Y": [0],
"CNOT": [1, 2],
"Y": [1],
"CNOT": [1, 0]
}
},
"dst": {
"cost": 3,
"circuit": {
"Z": [0],
"CNOT": [1, 2],
"X": [1]
}
}
}
], cost limit!
"p150": [
{
"qubits": 3,
"src": {
"cost": 2,
"circuit": {
"CNOT": [0, 2],
"CNOT": [0, 2]
}
},
"dst": {
"cost": 0,
"circuit": {}
}
}
]
"p1925": [
{
"qubits": 3,
"src": {
"cost": 3,
"circuit": {
"CNOT": [0, 2],
"CNOT": [0, 2],
"H": [2]
}
},
"dst": {
"cost": 1,
"circuit": {
"H": [2]
}
}
}redundant !!
]
"p92": [
{
"qubits": 1,
"src": {
"cost": 2,
"circuit": {
"H": [0],
"Z": [0]
}
},
"dst": {
"cost": 2,
"circuit": {
"X": [0],
"H": [0]
}
}
}
]
"p1083": [
{
"qubits": 1,
"src": {
"cost": 3,
"circuit": {
"H": [0],
"Z": [0],
"H": [0]
}
},
"dst": {
"cost": 1,
"circuit": {
"X": [0]
}
}
}
], cost limit!
"p45404": [
{
"qubits": 3,
"src": {
"cost": 6,
"circuit": {
"Z": [2],
"CNOT": [1, 2],
"CNOT": [2, 1],
"Z": [1]
}
},
"dst": {
"cost": 4,
"circuit": {
"CNOT": [1, 2],
"CNOT": [2, 1]
}
}
}
]
"p592531": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"Z": [2],
"CNOT": [1, 2],
"CNOT": [2, 1],
"Z": [1],
"CNOT": [2, 1]
}
},
"dst": {
"cost": 2,
"circuit": {
"CNOT": [1, 2]
}
}
}
] redundant!!
"p45403": [
{
"qubits": 3,
"src": {
"cost": 6,
"circuit": {
"Z": [2],
"CNOT": [1, 2],
"CNOT": [2, 1],
"Y": [1]
}
},
"dst": {
"cost": 5,
"circuit": {
"CNOT": [1, 2],
"X": [1],
"CNOT": [2, 1]
}
}
}
],
"p592519": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"Z": [2],
"CNOT": [1, 2],
"CNOT": [2, 1],
"Y": [1],
"CNOT": [2, 1]
}
},
"dst": {
"cost": 3,
"circuit": {
"CNOT": [1, 2],
"X": [1]
}
}
}
], redundant!
"p20921": [
{
"qubits": 3,
"src": {
"cost": 7,
"circuit": {
"CNOT": [1, 0],
"Z": [0],
"CNOT": [0, 2],
"CNOT": [1, 0]
}
},
"dst": {
"cost": 6,
"circuit": {
"Z": [0],
"CNOT": [0, 2],
"Z": [1],
"CNOT": [1, 2]
}
}
}
],
"p273702": [
{
"qubits": 3,
"src": {
"cost": 9,
"circuit": {
"CNOT": [1, 0],
"Z": [0],
"CNOT": [0, 2],
"CNOT": [1, 0],
"CNOT": [1, 2]
}
},
"dst": {
"cost": 4,
"circuit": {
"Z": [0],
"CNOT": [0, 2],
"Z": [1]
}
}
}
], redundant!!
"p20921": [
{
"qubits": 3,
"src": {
"cost": 7,
"circuit": {
"CNOT": [1, 0],
"Z": [0],
"CNOT": [0, 2],
"CNOT": [1, 0]
}
},
"dst": {
"cost": 6,
"circuit": {
"Z": [0],
"CNOT": [0, 2],
"Z": [1],
"CNOT": [1, 2]
}
}
}
],
"p273700": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"CNOT": [1, 0],
"Z": [0],
"CNOT": [0, 2],
"CNOT": [1, 0],
"Z": [1]
}
},
"dst": {
"cost": 5,
"circuit": {
"Z": [0],
"CNOT": [0, 2],
"CNOT": [1, 2]
}
}
}
],
[after add drop first redundancy check]
"p18519": [
{
"qubits": 3,
"src": {
"cost": 6,
"circuit": {
"X": [2],
"CNOT": [2, 1],
"CNOT": [0, 2],
"X": [2]
}
},
"dst": {
"cost": 5,
"circuit": {
"X": [1],
"CNOT": [2, 1],
"CNOT": [0, 2]
}
}
}
],
"p111970": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"X": [2],
"CNOT": [2, 1],
"CNOT": [0, 2],
"X": [2],
"CNOT": [2, 0]
}
},
"dst": {
"cost": 7,
"circuit": {
"CNOT": [0, 2],
"CNOT": [2, 0],
"CNOT": [0, 1],
"X": [1]
}
}
}
], legal but cost isn't improved
"p18400": [
{
"qubits": 3,
"src": {
"cost": 6,
"circuit": {
"X": [2],
"CNOT": [2, 0],
"CNOT": [0, 2],
"Y": [0]
}
},
"dst": {
"cost": 5,
"circuit": {
"CNOT": [2, 0],
"Z": [0],
"CNOT": [0, 2]
}
}
}
],
"p111285": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"X": [2],
"CNOT": [2, 0],
"CNOT": [0, 2],
"Y": [0],
"CNOT": [0, 1]
}
},
"dst": {
"cost": 7,
"circuit": {
"CNOT": [2, 0],
"Z": [0],
"CNOT": [0, 1],
"CNOT": [0, 2]
}
}
}
], legal but cost isn't improved
"p18399": [
{
"qubits": 3,
"src": {
"cost": 6,
"circuit": {
"X": [2],
"CNOT": [2, 0],
"CNOT": [0, 2],
"X": [0]
}
},
"dst": {
"cost": 4,
"circuit": {
"CNOT": [2, 0],
"CNOT": [0, 2]
}
}
}
],
"p111280": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"X": [2],
"CNOT": [2, 0],
"CNOT": [0, 2],
"X": [0],
"CNOT": [0, 1]
}
},
"dst": {
"cost": 6,
"circuit": {
"CNOT": [2, 0],
"CNOT": [0, 1],
"CNOT": [0, 2]
}
}
}
], legal but cost isn't improved
"p18226": [
{
"qubits": 3,
"src": {
"cost": 7,
"circuit": {
"CNOT": [2, 1],
"Y": [2],
"CNOT": [0, 2],
"CNOT": [2, 1]
}
},
"dst": {
"cost": 6,
"circuit": {
"CNOT": [0, 1],
"X": [1],
"Y": [2],
"CNOT": [0, 2]
}
}
}
],
"p110307": [
{
"qubits": 3,
"src": {
"cost": 9,
"circuit": {
"CNOT": [2, 1],
"Y": [2],
"CNOT": [0, 2],
"CNOT": [2, 1],
"CNOT": [1, 2]
}
},
"dst": {
"cost": 6,
"circuit": {
"X": [1],
"Y": [2],
"CNOT": [1, 2],
"CNOT": [0, 1]
}
}
}
], perfect !!!
"p18226": [
{
"qubits": 3,
"src": {
"cost": 7,
"circuit": {
"CNOT": [2, 1],
"Y": [2],
"CNOT": [0, 2],
"CNOT": [2, 1]
}
},
"dst": {
"cost": 6,
"circuit": {
"CNOT": [0, 1],
"X": [1],
"Y": [2],
"CNOT": [0, 2]
}
}
}
],
"p110305": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"CNOT": [2, 1],
"Y": [2],
"CNOT": [0, 2],
"CNOT": [2, 1],
"Z": [1]
}
},
"dst": {
"cost": 6,
"circuit": {
"CNOT": [0, 1],
"Y": [1],
"Y": [2],
"CNOT": [0, 2]
}
}
}
], perfect !!!
"p18226": [
{
"qubits": 3,
"src": {
"cost": 7,
"circuit": {
"CNOT": [2, 1],
"Y": [2],
"CNOT": [0, 2],
"CNOT": [2, 1]
}
},
"dst": {
"cost": 6,
"circuit": {
"CNOT": [0, 1],
"X": [1],
"Y": [2],
"CNOT": [0, 2]
}
}
}
],
"p110304": [
{
"qubits": 3,
"src": {
"cost": 8,
"circuit": {
"CNOT": [2, 1],
"Y": [2],
"CNOT": [0, 2],
"CNOT": [2, 1],
"Y": [1]
}
},
"dst": {
"cost": 6,
"circuit": {
"CNOT": [0, 1],
"Z": [1],
"Y": [2],
"CNOT": [0, 2]
}
}
}
], perfect !!!