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For degree-4 terms that conserve the number of particles we have ⟨F⋆ ψ, ajaia† j a† i F⋆ ψ⟩ =(U† 1 1 − D2 U)jj (U† 1 1 − D2 U)ii + U† 1 1 − D2 U ij 2 + U† D 1 − D2 U ij 2 − 2 Re ci

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quant-ph 1

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2024 1

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UNVERDICTED 1

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Bosonic Quantum Computational Complexity

quant-ph · 2024-10-05 · unverdicted · novelty 8.0

Defines bosonic analogs of BQP and QMA, proves Gaussian dynamics equivalent to BQL, places expectation values in PSPACE, and shows stellar-rank-dependent complexity for bosonic energy minimization from NP-complete to undecidable.

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  • Bosonic Quantum Computational Complexity quant-ph · 2024-10-05 · unverdicted · none · ref 12

    Defines bosonic analogs of BQP and QMA, proves Gaussian dynamics equivalent to BQL, places expectation values in PSPACE, and shows stellar-rank-dependent complexity for bosonic energy minimization from NP-complete to undecidable.