A recipe for initial points in variational compression of quantum time-evolution operators that provably converges to near-optimal O(N t polylog(N t/ε)) gate complexity for local translationally invariant Hamiltonians.
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A contact-geometry and principal-bundle framework derives the laws of quantum thermodynamics as geometric consequences of the state space structure.
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Near-Optimal Quantum Time Evolution Circuits via Provably Convergent Compression
A recipe for initial points in variational compression of quantum time-evolution operators that provably converges to near-optimal O(N t polylog(N t/ε)) gate complexity for local translationally invariant Hamiltonians.
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Geometric foundations of thermodynamics in the quantum regime
A contact-geometry and principal-bundle framework derives the laws of quantum thermodynamics as geometric consequences of the state space structure.