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Direct estimations of linear and non-linear functionals of a quantum state

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arxiv quant-ph/0203016 v1 pith:WRCL5MSG submitted 2002-03-04 quant-ph

Direct estimations of linear and non-linear functionals of a quantum state

classification quant-ph
keywords quantumdirectestimationsnetworkfunctionalslinearnon-linearproperties
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a simple quantum network, based on the controlled-SWAP gate, that can extract certain properties of quantum states without recourse to quantum tomography. It can be used used as a basic building block for direct quantum estimations of both linear and non-linear functionals of any density operator. The network has many potential applications ranging from purity tests and eigenvalue estimations to direct characterization of some properties of quantum channels. Experimental realizations of the proposed network are within the reach of quantum technology that is currently being developed.

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Cited by 2 Pith papers

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

  1. Imaginary pseudo entropy encodes temporal orientation

    quant-ph 2026-06 unverdicted novelty 6.0

    Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.

  2. High-Precision Variational Quantum SVD via Classical Orthogonality Correction

    quant-ph 2026-05 unverdicted novelty 6.0

    A variational quantum SVD framework with classical orthogonality correction enables high-precision extraction of Schmidt components from bipartite states using shallow circuits and classical tensor-network post-processing.