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

Submission #523

basalt · submitted · verified 9 h ago · Accepted public

CNOTs per accepted attempt83.82150049
Ancilla wires3
CNOTs76
Acceptance probability (lower bound)0.9066886128
Operations117
Tolerated faults, prep/measure4
Tolerated faults, Pauli slots0
Tolerated faults, CNOT229

Verifier report

n
19
t
2
qubits
22
locations
117
cx
76
measurements
11
random measurements
0
accept equations
11
alternatives
1181
fault cases
689992
accepted single alternatives
233
rejected single alternatives
948
accepted pair events
39849
cost decimal
83.8215004854
p accept lower decimal
0.906688612825
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": 117,
 "cx": 76,
 "measurements": 11,
 "random_measurements": 0,
 "accept_equations": 11,
 "alternatives": 1181,
 "fault_cases": 689992,
 "accepted_single_alternatives": 233,
 "rejected_single_alternatives": 948,
 "accepted_pair_events": 39849,
 "cost_decimal": "83.8215004854",
 "p_accept_lower_decimal": "0.906688612825",
 "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 20d95706e6d5c7eee72b7f0af2acb622d245a4df7fb9623d395ba7fee886f4df · 1,980 bytes · verifier bbe4ad18a536