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Instantaneous Quantum Computation

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arxiv 0809.0847 v3 pith:JEWWX2OI submitted 2008-09-04 quant-ph

classification quant-ph
keywords quantumcomputationeffectsinstantaneousparadigmabstractaccuratelyadmits
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We examine theoretic architectures and an abstract model for a restricted class of quantum computation, called here instantaneous quantum computation because it allows for essentially no temporal structure within the quantum dynamics. Using the theory of binary matroids, we argue that the paradigm is rich enough to enable sampling from probability distributions that cannot, classically, be sampled from efficiently and accurately. This paradigm also admits simple interactive proof games that may convince a skeptic of the existence of truly quantum effects. Furthermore, these effects can be created using significantly fewer qubits than are required for running Shor's Algorithm.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling

    quant-ph 2026-07 reject novelty 7.0 of 10

    Random Gaussian permanents satisfy a weak anti-concentration bound: they rarely dip superexponentially below their standard deviation.

  2. Quantum encodings that preserve persistent homology

    quant-ph 2026-05 unverdicted novelty 5.0 of 10

    Investigates which quantum encodings of classical datasets preserve persistent homology so that quantum algorithms can extract topological features directly from the data.

  3. Polynomial Resource Classification of Quantum Circuit Familes via Classical Shadows

    quant-ph 2026-04 unverdicted novelty 5.0 of 10

    Z-only measurements classify small IQP, Clifford, and Clifford+T circuits with up to 0.91 accuracy and outperform classical shadows, but all four strategies drop to chance level above 12 qubits with quadratic shots.

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