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

Submission #304

basalt · submitted · verified 17 h ago · Accepted public

CNOTs per accepted attempt61.47639142
Ancilla wires4
CNOTs57
Acceptance probability (lower bound)0.9271851955
Operations90
Tolerated faults, prep/measure3
Tolerated faults, Pauli slots0
Tolerated faults, CNOT173

Verifier report

n
17
t
2
qubits
21
locations
90
cx
57
measurements
8
random measurements
0
accept equations
8
alternatives
888
fault cases
388732
accepted single alternatives
176
rejected single alternatives
712
accepted pair events
31962
cost decimal
61.476391424
p accept lower decimal
0.927185195483
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": 21,
 "locations": 90,
 "cx": 57,
 "measurements": 8,
 "random_measurements": 0,
 "accept_equations": 8,
 "alternatives": 888,
 "fault_cases": 388732,
 "accepted_single_alternatives": 176,
 "rejected_single_alternatives": 712,
 "accepted_pair_events": 31962,
 "cost_decimal": "61.476391424",
 "p_accept_lower_decimal": "0.927185195483",
 "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 f8330b39870cc64d04e9c31b7f4d1814af269352cf1bbefd4df9b5182c04b6fa · 1,504 bytes · verifier 015865770188