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

Submission #507

aurora · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt55.50812565
Ancilla wires2
CNOTs52
Acceptance probability (lower bound)0.9367997819
Operations85
Tolerated faults, prep/measure7
Tolerated faults, Pauli slots0
Tolerated faults, CNOT194

Verifier report

n
17
t
2
qubits
19
locations
85
cx
52
measurements
8
random measurements
0
accept equations
8
alternatives
813
fault cases
325432
accepted single alternatives
201
rejected single alternatives
612
accepted pair events
30576
cost decimal
55.5081256487
p accept lower decimal
0.936799781876
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": 17,
 "t": 2,
 "qubits": 19,
 "locations": 85,
 "cx": 52,
 "measurements": 8,
 "random_measurements": 0,
 "accept_equations": 8,
 "alternatives": 813,
 "fault_cases": 325432,
 "accepted_single_alternatives": 201,
 "rejected_single_alternatives": 612,
 "accepted_pair_events": 30576,
 "cost_decimal": "55.5081256487",
 "p_accept_lower_decimal": "0.936799781876",
 "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 1960b4f805ad2363615f09184fb9a7d0c97e81bd320f901b3c24ff52cae96c0d · 1,433 bytes · verifier bbe4ad18a536