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Quantum circuits of CNOT gates

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arxiv 2009.13247 v3 pith:FTK3R2LW submitted 2020-09-24 quant-ph

classification quant-ph
keywords cnotcircuitsgatescircuitquantumsomeactsalgebraic
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We study in detail the algebraic structures underlying quantum circuits generated by CNOT gates. Our results allow us to propose polynomial-time heuristics to reduce the number of gates used in a given CNOT circuit and we also give algorithms to optimize this type of circuits in some particular cases. Finally we show how to create some usefull entangled states when a CNOT circuit acts on a fully factorized state.

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Cited by 2 Pith papers

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

  1. From Qubits to Couplings: A Hybrid Quantum Machine Learning Framework for LHC Physics

    hep-ex 2025-11 reject novelty 5.0 of 10

    A hybrid quantum-classical classifier on simulated HH→bbγγ events claims 95% CL limits of 1.9–2.1×SM, but the gain over XGBoost is 21–29%, not the advertised factor of two.

  2. Experimental Approaches to Distinguishing Quantum Collapse from Unitary Evolution: A Weak Measurement Perspective

    quant-ph 2025-05 reject novelty 4.0 of 10

    A proposed trapped-ion experiment uses a quantum dot as an 'unconscious observer' and claims the resulting interference pattern can distinguish collapse from unitary quantum evolution.

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