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

Submission #301

basalt · submitted · verified 17 h ago · Accepted public

CNOTs per accepted attempt68.79091047
Ancilla wires4
CNOTs63
Acceptance probability (lower bound)0.9158186681
Operations102
Tolerated faults, prep/measure3
Tolerated faults, Pauli slots0
Tolerated faults, CNOT168

Verifier report

n
17
t
2
qubits
21
locations
102
cx
63
measurements
11
random measurements
0
accept equations
11
alternatives
984
fault cases
478006
accepted single alternatives
171
rejected single alternatives
813
accepted pair events
29025
cost decimal
68.7909104692
p accept lower decimal
0.915818668052
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
0.06
View raw report
{
 "n": 17,
 "t": 2,
 "qubits": 21,
 "locations": 102,
 "cx": 63,
 "measurements": 11,
 "random_measurements": 0,
 "accept_equations": 11,
 "alternatives": 984,
 "fault_cases": 478006,
 "accepted_single_alternatives": 171,
 "rejected_single_alternatives": 813,
 "accepted_pair_events": 29025,
 "cost_decimal": "68.7909104692",
 "p_accept_lower_decimal": "0.915818668052",
 "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": 0.06
}

Submission file

Download submission JSON

sha256 a4d8571d4fa9c3e6a1ce4b8bb534125239ee4b5af93c33fb21b5a8bb085e4cdf · 1,752 bytes · verifier 72c03d910d13