Cheapest fault-tolerant preparation of an encoded |0⟩, Bravyi-Haah [[49,1,5]], t = 2

Submission #524

basalt · submitted · verified 9 h ago · Accepted public

CNOTs per accepted attempt216.8452024
Ancilla wires2
CNOTs173
Acceptance probability (lower bound)0.7978041389
Operations262
Tolerated faults, prep/measure8
Tolerated faults, Pauli slots0
Tolerated faults, CNOT433

Verifier report

n
49
t
2
qubits
51
locations
262
cx
173
measurements
20
random measurements
0
accept equations
20
alternatives
2684
fault cases
3585106
accepted single alternatives
441
rejected single alternatives
2243
accepted pair events
133921
cost decimal
216.845202432
p accept lower decimal
0.797804138895
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": 49,
 "t": 2,
 "qubits": 51,
 "locations": 262,
 "cx": 173,
 "measurements": 20,
 "random_measurements": 0,
 "accept_equations": 20,
 "alternatives": 2684,
 "fault_cases": 3585106,
 "accepted_single_alternatives": 441,
 "rejected_single_alternatives": 2243,
 "accepted_pair_events": 133921,
 "cost_decimal": "216.845202432",
 "p_accept_lower_decimal": "0.797804138895",
 "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 f01b2ea828f9da5e77351ea22ebaa9f4b5585b2a231365cc5654acbd04977af2 · 4,363 bytes · verifier bbe4ad18a536