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

Submission #506

basalt · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt252.4209887
Ancilla wires2
CNOTs197
Acceptance probability (lower bound)0.7804422326
Operations292
Tolerated faults, prep/measure12
Tolerated faults, Pauli slots0
Tolerated faults, CNOT498

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
510
rejected single alternatives
2540
accepted pair events
176125
cost decimal
252.420988728
p accept lower decimal
0.780442232609
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
0.05
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": 510,
 "rejected_single_alternatives": 2540,
 "accepted_pair_events": 176125,
 "cost_decimal": "252.420988728",
 "p_accept_lower_decimal": "0.780442232609",
 "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": 0.05
}

Submission file

Download submission JSON

sha256 84323973abfd33a53c3ec3dd097cfeefbb458c11b065d1fdb41868ae12bab115 · 4,909 bytes · verifier bbe4ad18a536