REVIEW 4 cited by
Symmetric Clifford twirling for cost-optimal quantum error mitigation in early FTQC regime
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
Twirling noise affecting quantum gates is essential in understanding and controlling errors, but applicable operations to noise are usually restricted by symmetries inherent in quantum gates. In this work, we propose symmetric Clifford twirling, a Clifford twirling utilizing only symmetric Clifford operators that commute with certain Pauli subgroups. We fully characterize how each Pauli noise is converted through the twirling and show that certain Pauli noise can be scrambled to a noise exponentially close to the global white noise. Moreover, we provide numerical demonstrations for highly structured circuits, such as Trotterized Hamiltonian simulation circuits, that noise effect on typical observables can be described by the global white noise. We further demonstrate that symmetric Clifford twirling and its hardware-efficient variant using only local symmetric Clifford operators can significantly accelerate the scrambling. These findings enable us to mitigate errors in non-Clifford operations with minimal sampling overhead in the early fault-tolerant regime.
Forward citations
Cited by 4 Pith papers
-
Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms
Clebsch-Gordan transforms give exact compressed oracles for Haar-random unitary group actions, with efficient circuits for U(d).
-
Syndrome aware mitigation of logical errors
Conditioning logical error mitigation on the measured error-correcting syndromes cuts sampling overhead exponentially and can make error correction useful above its standard pseudo-threshold.
-
Faster Probabilistic Error Cancellation
A binomial-expansion reformulation of PEC, with deterministic shot allocation and truncation-based bias control, reduces the sampling overhead of quantum error mitigation.
-
Non-Markovian Noise Suppression Simplified through Channel Representation
A new representation, the Choi channel, maps arbitrary non-Markovian quantum noise to a standard quantum channel, allowing channel-level error suppression protocols to be imported and translated back to the circuit picture.
Discussion (0). Continue with ORCID to comment.