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

Submission #555

aurora · submitted · verified 8 h ago · Accepted public

CNOTs per accepted attempt80.49279698
Ancilla wires2
CNOTs73
Acceptance probability (lower bound)0.9069134474
Operations114
Tolerated faults, prep/measure5
Tolerated faults, Pauli slots0
Tolerated faults, CNOT172

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
177
rejected single alternatives
959
accepted pair events
26499
cost decimal
80.4927969788
p accept lower decimal
0.906913447414
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": 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": 177,
 "rejected_single_alternatives": 959,
 "accepted_pair_events": 26499,
 "cost_decimal": "80.4927969788",
 "p_accept_lower_decimal": "0.906913447414",
 "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 e8fea33ee3058922ec7379b6c444d2c39adfc9cbda960a0eca0e1121c85a14e2 · 1,930 bytes · verifier 97dfdd634c01