Cheapest fault-tolerant preparation of an encoded |0⟩, Color code [[19,1,5]], t = 2

Submission #493

aurora · submitted · verified 11 h ago · Accepted public

CNOTs per accepted attempt86.96443783
Ancilla wires3
CNOTs78
Acceptance probability (lower bound)0.896918349
Operations121
Tolerated faults, prep/measure0
Tolerated faults, Pauli slots0
Tolerated faults, CNOT185

Verifier report

n
19
t
2
qubits
22
locations
121
cx
78
measurements
12
random measurements
0
accept equations
12
alternatives
1213
fault cases
728102
accepted single alternatives
185
rejected single alternatives
1028
accepted pair events
31427
cost decimal
86.9644378254
p accept lower decimal
0.896918349045
note
every noiseless branch is accepted with output |0_L>; every event of at most t faults was checked exactly (decimals are for display only)
verify seconds
0.09
View raw report
{
 "n": 19,
 "t": 2,
 "qubits": 22,
 "locations": 121,
 "cx": 78,
 "measurements": 12,
 "random_measurements": 0,
 "accept_equations": 12,
 "alternatives": 1213,
 "fault_cases": 728102,
 "accepted_single_alternatives": 185,
 "rejected_single_alternatives": 1028,
 "accepted_pair_events": 31427,
 "cost_decimal": "86.9644378254",
 "p_accept_lower_decimal": "0.896918349045",
 "note": "every noiseless branch is accepted with output |0_L>; every event of at most t faults was checked exactly (decimals are for display only)",
 "verify_seconds": 0.09
}

Submission file

Download submission JSON

sha256 490dbdf8d51385013e4ed5dcd9412ff1bda47c6ee4250938689fecceda7ed901 · 2,059 bytes · verifier bbe4ad18a536