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

Submission #588

aurora · submitted · verified 5 h ago · Accepted public

CNOTs per accepted attempt80.02193297
Ancilla wires2
CNOTs73
Acceptance probability (lower bound)0.9122498956
Operations112
Tolerated faults, prep/measure6
Tolerated faults, Pauli slots0
Tolerated faults, CNOT216

Verifier report

n
19
t
2
qubits
21
locations
112
cx
73
measurements
10
random measurements
0
accept equations
10
alternatives
1134
fault cases
635881
accepted single alternatives
222
rejected single alternatives
912
accepted pair events
36991
cost decimal
80.0219329723
p accept lower decimal
0.912249895604
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": 112,
 "cx": 73,
 "measurements": 10,
 "random_measurements": 0,
 "accept_equations": 10,
 "alternatives": 1134,
 "fault_cases": 635881,
 "accepted_single_alternatives": 222,
 "rejected_single_alternatives": 912,
 "accepted_pair_events": 36991,
 "cost_decimal": "80.0219329723",
 "p_accept_lower_decimal": "0.912249895604",
 "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 6a7a250d0987c0d6469ecaf68c5587323de18e68a6535f632081bb6b22860c54 · 1,539 bytes · verifier 97dfdd634c01