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

Submission #317

basalt · submitted · verified 16 h ago · Accepted public

CNOTs per accepted attempt108.5822407
Ancilla wires4
CNOTs95
Acceptance probability (lower bound)0.8749128712
Operations148
Tolerated faults, prep/measure0
Tolerated faults, Pauli slots0
Tolerated faults, CNOT218

Verifier report

n
19
t
2
qubits
23
locations
148
cx
95
measurements
17
random measurements
0
accept equations
17
alternatives
1478
fault cases
1083007
accepted single alternatives
218
rejected single alternatives
1260
accepted pair events
39027
cost decimal
108.58224073
p accept lower decimal
0.874912871212
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": 23,
 "locations": 148,
 "cx": 95,
 "measurements": 17,
 "random_measurements": 0,
 "accept_equations": 17,
 "alternatives": 1478,
 "fault_cases": 1083007,
 "accepted_single_alternatives": 218,
 "rejected_single_alternatives": 1260,
 "accepted_pair_events": 39027,
 "cost_decimal": "108.58224073",
 "p_accept_lower_decimal": "0.874912871212",
 "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 4eea607fa7c8f1560c6af376d0240ecfa0d5f0adf20bdc7c105660c52c28d304 · 2,588 bytes · verifier 404368700983