Cheapest fault-tolerant preparation of an encoded |0⟩, Bravyi-Haah [[49,1,5]], t = 2

Submission #497

aurora · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt254.5171847
Ancilla wires2
CNOTs197
Acceptance probability (lower bound)0.7740145337
Operations292
Tolerated faults, prep/measure9
Tolerated faults, Pauli slots0
Tolerated faults, CNOT414

Verifier report

n
49
t
2
qubits
51
locations
292
cx
197
measurements
23
random measurements
0
accept equations
23
alternatives
3050
fault cases
4632091
accepted single alternatives
423
rejected single alternatives
2627
accepted pair events
144128
cost decimal
254.517184656
p accept lower decimal
0.774014533701
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": 49,
 "t": 2,
 "qubits": 51,
 "locations": 292,
 "cx": 197,
 "measurements": 23,
 "random_measurements": 0,
 "accept_equations": 23,
 "alternatives": 3050,
 "fault_cases": 4632091,
 "accepted_single_alternatives": 423,
 "rejected_single_alternatives": 2627,
 "accepted_pair_events": 144128,
 "cost_decimal": "254.517184656",
 "p_accept_lower_decimal": "0.774014533701",
 "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 752458952a7a351a05e41b788f1427e9b741e31336df9db12b2f77804bc0c9c8 · 4,909 bytes · verifier bbe4ad18a536