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

Submission #526

basalt · submitted · verified 9 h ago · Accepted public

CNOTs per accepted attempt81.84368252
Ancilla wires3
CNOTs74
Acceptance probability (lower bound)0.9041626394
Operations115
Tolerated faults, prep/measure2
Tolerated faults, Pauli slots0
Tolerated faults, CNOT186

Verifier report

n
19
t
2
qubits
22
locations
115
cx
74
measurements
11
random measurements
0
accept equations
11
alternatives
1151
fault cases
655207
accepted single alternatives
188
rejected single alternatives
963
accepted pair events
31133
cost decimal
81.843682517
p accept lower decimal
0.904162639366
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": 115,
 "cx": 74,
 "measurements": 11,
 "random_measurements": 0,
 "accept_equations": 11,
 "alternatives": 1151,
 "fault_cases": 655207,
 "accepted_single_alternatives": 188,
 "rejected_single_alternatives": 963,
 "accepted_pair_events": 31133,
 "cost_decimal": "81.843682517",
 "p_accept_lower_decimal": "0.904162639366",
 "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 3dbdc4ca7fbb47b92cdc88a692cec1f769302ba47a019aaf253763fcfcd6b2bb · 1,950 bytes · verifier bbe4ad18a536