Quantum coherences bind to hydrodynamic voids forming polaron-like objects, parametrically enhancing lifetimes and producing subdiffusive Green's functions in charge-conserving dynamics.
A polynomial-time classical algorithm for noisy quantum circuits
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Bra-ket entanglement indicates a shift from coherence-dominated to magic-dominated entanglement generation as its value increases.
For unitaries from local or pairwise interactions, depolarizing noise above a critical strength makes open quantum spin chain dynamics exactly classically simulable by halting growth in the negative Markov chain representation.
Gaussian randomized rounding on two-qubit marginals of depth-D circuits with local depolarizing noise p yields samples whose expected Max-Cut cost matches the noisy quantum device up to an approximation ratio of 1-O[(1-p)^D].
The paper identifies four key hurdles in the transition from NISQ to FASQ quantum computers and argues that targeting them will accelerate progress toward useful quantum advantage.
citing papers explorer
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Long-lived local quantum coherences from hydrodynamic large deviations
Quantum coherences bind to hydrodynamic voids forming polaron-like objects, parametrically enhancing lifetimes and producing subdiffusive Green's functions in charge-conserving dynamics.
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Bra-ket entanglement, an indicator bridging entanglement, magic, and coherence
Bra-ket entanglement indicates a shift from coherence-dominated to magic-dominated entanglement generation as its value increases.
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Quantum-to-Classical Computability Transition via Negative Markov Chains
For unitaries from local or pairwise interactions, depolarizing noise above a critical strength makes open quantum spin chain dynamics exactly classically simulable by halting growth in the negative Markov chain representation.
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Sampling (noisy) quantum circuits through randomized rounding
Gaussian randomized rounding on two-qubit marginals of depth-D circuits with local depolarizing noise p yields samples whose expected Max-Cut cost matches the noisy quantum device up to an approximation ratio of 1-O[(1-p)^D].
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Mind the gaps: The fraught road to quantum advantage
The paper identifies four key hurdles in the transition from NISQ to FASQ quantum computers and argues that targeting them will accelerate progress toward useful quantum advantage.