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

Submission #520

aurora · submitted · verified 9 h ago · Accepted public

CNOTs per accepted attempt84.25417205
Ancilla wires3
CNOTs76
Acceptance probability (lower bound)0.9020324828
Operations119
Tolerated faults, prep/measure3
Tolerated faults, Pauli slots0
Tolerated faults, CNOT196

Verifier report

n
19
t
2
qubits
22
locations
119
cx
76
measurements
12
random measurements
0
accept equations
12
alternatives
1183
fault cases
692357
accepted single alternatives
199
rejected single alternatives
984
accepted pair events
33506
cost decimal
84.2541720483
p accept lower decimal
0.902032482812
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": 119,
 "cx": 76,
 "measurements": 12,
 "random_measurements": 0,
 "accept_equations": 12,
 "alternatives": 1183,
 "fault_cases": 692357,
 "accepted_single_alternatives": 199,
 "rejected_single_alternatives": 984,
 "accepted_pair_events": 33506,
 "cost_decimal": "84.2541720483",
 "p_accept_lower_decimal": "0.902032482812",
 "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 da689ea5892fc6ea518413b70bf7a668d457e7bf49f4d3a3b184003ea2f06932 · 2,032 bytes · verifier bbe4ad18a536