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

Submission #557

basalt · submitted · verified 7 h ago · Accepted public

CNOTs per accepted attempt80.25569703
Ancilla wires2
CNOTs73
Acceptance probability (lower bound)0.9095927479
Operations114
Tolerated faults, prep/measure6
Tolerated faults, Pauli slots0
Tolerated faults, CNOT202

Verifier report

n
19
t
2
qubits
21
locations
114
cx
73
measurements
11
random measurements
0
accept equations
11
alternatives
1136
fault cases
638152
accepted single alternatives
208
rejected single alternatives
928
accepted pair events
33144
cost decimal
80.2556970335
p accept lower decimal
0.909592747908
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
0.08
View raw report
{
 "n": 19,
 "t": 2,
 "qubits": 21,
 "locations": 114,
 "cx": 73,
 "measurements": 11,
 "random_measurements": 0,
 "accept_equations": 11,
 "alternatives": 1136,
 "fault_cases": 638152,
 "accepted_single_alternatives": 208,
 "rejected_single_alternatives": 928,
 "accepted_pair_events": 33144,
 "cost_decimal": "80.2556970335",
 "p_accept_lower_decimal": "0.909592747908",
 "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": 0.08
}

Submission file

Download submission JSON

sha256 c66048a43281ea2784dc2550ce113a7a5a640b5129e6edf9bf7ee6b9d4c70d5e · 1,931 bytes · verifier 97dfdd634c01