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

Submission #505

basalt · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt86.47987688
Ancilla wires3
CNOTs78
Acceptance probability (lower bound)0.9019439298
Operations121
Tolerated faults, prep/measure5
Tolerated faults, Pauli slots0
Tolerated faults, CNOT195

Verifier report

n
19
t
2
qubits
22
locations
121
cx
78
measurements
12
random measurements
0
accept equations
12
alternatives
1213
fault cases
728102
accepted single alternatives
200
rejected single alternatives
1013
accepted pair events
33748
cost decimal
86.4798768804
p accept lower decimal
0.901943929775
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
0.07
View raw report
{
 "n": 19,
 "t": 2,
 "qubits": 22,
 "locations": 121,
 "cx": 78,
 "measurements": 12,
 "random_measurements": 0,
 "accept_equations": 12,
 "alternatives": 1213,
 "fault_cases": 728102,
 "accepted_single_alternatives": 200,
 "rejected_single_alternatives": 1013,
 "accepted_pair_events": 33748,
 "cost_decimal": "86.4798768804",
 "p_accept_lower_decimal": "0.901943929775",
 "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": 0.07
}

Submission file

Download submission JSON

sha256 10be5111958a45cdcbc6dd44bb2d6e5d5a4ad030f67f3051c1897cb791316ca3 · 2,056 bytes · verifier bbe4ad18a536