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

Submission #512

basalt · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt84.9794067
Ancilla wires3
CNOTs77
Acceptance probability (lower bound)0.906101878
Operations120
Tolerated faults, prep/measure7
Tolerated faults, Pauli slots0
Tolerated faults, CNOT220

Verifier report

n
19
t
2
qubits
22
locations
120
cx
77
measurements
12
random measurements
0
accept equations
12
alternatives
1198
fault cases
710117
accepted single alternatives
227
rejected single alternatives
971
accepted pair events
37640
cost decimal
84.9794066969
p accept lower decimal
0.906101878008
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": 22,
 "locations": 120,
 "cx": 77,
 "measurements": 12,
 "random_measurements": 0,
 "accept_equations": 12,
 "alternatives": 1198,
 "fault_cases": 710117,
 "accepted_single_alternatives": 227,
 "rejected_single_alternatives": 971,
 "accepted_pair_events": 37640,
 "cost_decimal": "84.9794066969",
 "p_accept_lower_decimal": "0.906101878008",
 "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 10f93c256e8d14f46eb6dfae8081913dd3a74ff6861ba40bdf62f0a965ef8138 · 2,047 bytes · verifier bbe4ad18a536