Cheapest fault-tolerant preparation of an encoded |0⟩, Color code [[17,1,5]], t = 2

Submission #510

basalt · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt53.13371591
Ancilla wires2
CNOTs50
Acceptance probability (lower bound)0.9410220825
Operations79
Tolerated faults, prep/measure6
Tolerated faults, Pauli slots0
Tolerated faults, CNOT186

Verifier report

n
17
t
2
qubits
19
locations
79
cx
50
measurements
6
random measurements
0
accept equations
6
alternatives
779
fault cases
298561
accepted single alternatives
192
rejected single alternatives
587
accepted pair events
30445
cost decimal
53.1337159135
p accept lower decimal
0.941022082503
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": 17,
 "t": 2,
 "qubits": 19,
 "locations": 79,
 "cx": 50,
 "measurements": 6,
 "random_measurements": 0,
 "accept_equations": 6,
 "alternatives": 779,
 "fault_cases": 298561,
 "accepted_single_alternatives": 192,
 "rejected_single_alternatives": 587,
 "accepted_pair_events": 30445,
 "cost_decimal": "53.1337159135",
 "p_accept_lower_decimal": "0.941022082503",
 "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 5b2c6f396cf3e3d267c05d90cf6b4de9ae38951990fe2d5c1239fc621e7e981d · 1,299 bytes · verifier bbe4ad18a536