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

Submission #508

aurora · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt85.19643223
Ancilla wires3
CNOTs77
Acceptance probability (lower bound)0.9037937152
Operations120
Tolerated faults, prep/measure6
Tolerated faults, Pauli slots0
Tolerated faults, CNOT196

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
202
rejected single alternatives
996
accepted pair events
33153
cost decimal
85.1964322264
p accept lower decimal
0.903793715157
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": 22,
 "locations": 120,
 "cx": 77,
 "measurements": 12,
 "random_measurements": 0,
 "accept_equations": 12,
 "alternatives": 1198,
 "fault_cases": 710117,
 "accepted_single_alternatives": 202,
 "rejected_single_alternatives": 996,
 "accepted_pair_events": 33153,
 "cost_decimal": "85.1964322264",
 "p_accept_lower_decimal": "0.903793715157",
 "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 baf2e2d1a9ac353a805d3d2784a4dfcf52cfeb6ef0adb23de9e4ed2bf7349cbe · 2,047 bytes · verifier bbe4ad18a536