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

Submission #511

basalt · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt225.6242007
Ancilla wires2
CNOTs178
Acceptance probability (lower bound)0.7889224626
Operations271
Tolerated faults, prep/measure5
Tolerated faults, Pauli slots0
Tolerated faults, CNOT444

Verifier report

n
49
t
2
qubits
51
locations
271
cx
178
measurements
22
random measurements
0
accept equations
22
alternatives
2763
fault cases
3799777
accepted single alternatives
449
rejected single alternatives
2314
accepted pair events
137940
cost decimal
225.624200663
p accept lower decimal
0.788922462559
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": 271,
 "cx": 178,
 "measurements": 22,
 "random_measurements": 0,
 "accept_equations": 22,
 "alternatives": 2763,
 "fault_cases": 3799777,
 "accepted_single_alternatives": 449,
 "rejected_single_alternatives": 2314,
 "accepted_pair_events": 137940,
 "cost_decimal": "225.624200663",
 "p_accept_lower_decimal": "0.788922462559",
 "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 4149ee2d5ae7f3339281198d8aee2ae8dfbab779f2a4135d9dfa29ebd7382fea · 4,546 bytes · verifier bbe4ad18a536