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

Submission #558

basalt · submitted · verified 7 h ago · Accepted public

CNOTs per accepted attempt80.04287153
Ancilla wires2
CNOTs73
Acceptance probability (lower bound)0.9120112585
Operations112
Tolerated faults, prep/measure6
Tolerated faults, Pauli slots0
Tolerated faults, CNOT212

Verifier report

n
19
t
2
qubits
21
locations
112
cx
73
measurements
10
random measurements
0
accept equations
10
alternatives
1134
fault cases
635881
accepted single alternatives
218
rejected single alternatives
916
accepted pair events
35743
cost decimal
80.04287153
p accept lower decimal
0.912011258524
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": 21,
 "locations": 112,
 "cx": 73,
 "measurements": 10,
 "random_measurements": 0,
 "accept_equations": 10,
 "alternatives": 1134,
 "fault_cases": 635881,
 "accepted_single_alternatives": 218,
 "rejected_single_alternatives": 916,
 "accepted_pair_events": 35743,
 "cost_decimal": "80.04287153",
 "p_accept_lower_decimal": "0.912011258524",
 "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 848dd6db8c95d0f4a6ba507243f8d61dbdf078e4fd5ed42c805171b0925a9fa6 · 1,879 bytes · verifier 97dfdd634c01