Deciding circuit width w(f) ≤ k for degree-3 polynomials with no constant term is NP-complete, with 49/48-ε inapproximability, ETH lower bounds, and FPT algorithms.
Power of one bit of quantum information.Phys
4 Pith papers cite this work, alongside 909 external citations. Polarity classification is still indexing.
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Pith papers citing it
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representative citing papers
Estimating k powers of a quantum state against one observable simultaneously costs Θ~(k) samples, matching the cost of the single hardest term.
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
A unitary decomposition using SWAP and center-switch gates reduces the number of terms needed to encode tridiagonal linear systems in the variational quantum linear solver, with first simulator and hardware demonstrations at 2x2 and 4x4 sizes.
citing papers explorer
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On the Complexity of the Circuit Width Problem
Deciding circuit width w(f) ≤ k for degree-3 polynomials with no constant term is NP-complete, with 49/48-ε inapproximability, ETH lower bounds, and FPT algorithms.
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Simultaneous Estimation of Nonlinear Functionals of a Quantum State
Estimating k powers of a quantum state against one observable simultaneously costs Θ~(k) samples, matching the cost of the single hardest term.
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From quantum time to manifestly covariant QFT: On the need for a quantum-action-based quantization
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
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Solving 1D Poisson problem with a Variational Quantum Linear Solver
A unitary decomposition using SWAP and center-switch gates reduces the number of terms needed to encode tridiagonal linear systems in the variational quantum linear solver, with first simulator and hardware demonstrations at 2x2 and 4x4 sizes.