Cheapest fault-tolerant preparation of an encoded |0⟩, Steane [[7,1,3]], t = 1

Submission #496

aurora · submitted · verified 10 h ago · Accepted public

CNOTs per accepted attempt11.08108663
Ancilla wires1
CNOTs11
Acceptance probability (lower bound)0.9926824299
Operations20
Tolerated faults, prep/measure6
Tolerated faults, Pauli slots0
Tolerated faults, CNOT101

Verifier report

n
7
t
1
qubits
8
locations
20
cx
11
measurements
1
random measurements
0
accept equations
1
alternatives
174
fault cases
175
accepted single alternatives
107
rejected single alternatives
67
accepted pair events
None
cost decimal
11.0810866277
p accept lower decimal
0.99268242994
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": 7,
 "t": 1,
 "qubits": 8,
 "locations": 20,
 "cx": 11,
 "measurements": 1,
 "random_measurements": 0,
 "accept_equations": 1,
 "alternatives": 174,
 "fault_cases": 175,
 "accepted_single_alternatives": 107,
 "rejected_single_alternatives": 67,
 "accepted_pair_events": null,
 "cost_decimal": "11.0810866277",
 "p_accept_lower_decimal": "0.99268242994",
 "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 02b941c57032745559849358f1c88e55e78c275b69a8aa56ee685a02857605bf · 314 bytes · verifier bbe4ad18a536