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Entanglement accelerates quantum simulation
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Quantum entanglement is an essential feature of many-body systems that impacts both quantum information processing and fundamental physics. The growth of entanglement is a major challenge for classical simulation methods. In this work, we investigate the relationship between quantum entanglement and quantum simulation, showing that product-formula approximations can perform better for entangled systems. We establish a tighter upper bound for algorithmic error in terms of entanglement entropy and develop an adaptive simulation algorithm incorporating measurement gadgets to estimate the algorithmic error. This shows that entanglement is not only an obstacle to classical simulation, but also a feature that can accelerate quantum algorithms.
Forward citations
Cited by 3 Pith papers
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Approximate k-uniform states: definition, construction and applications
The paper introduces epsilon-approximate k-uniform states, proves Haar-random states and shallow random circuits produce them, and connects them to approximate quantum error-correcting codes and information masking.
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Offline recovery of magic and entanglement from noisy Pauli product states
Classical purification of noisy Pauli-product states recovers magic and entanglement, with a noise floor that depends on when those resources are generated and on which circuit state is chosen.
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Trotterization, Operator Scrambling, and Entanglement
Trotter simulation error for observables is bounded by operator scrambling, and sufficient entanglement reduces this error to a normalized Frobenius-norm scaling.
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