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Weak Measurements with Arbitrary Probe States

2004/02/05 by Lars M. Johansen · 55 citations
Computer Science · Physics and Astronomy · #Artificial intelligence #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Observable #Physics #Pointer (user interface) #Pointer analysis #Programming language #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Static analysis #Statistical physics #Thermal #Thermodynamics #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.120402

published in Physical Review Letters 93(12), 120402 (American Physical Society) · 4 pages

arxiv created 2004/02/05 · openalex publication_date 2004/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The exact conditions on valid probe states for weak measurements are derived. It is demonstrated that weak measurements can be performed with any probe state with vanishing probability current density. This condition is found both for weak measurements of noncommuting observables and for c-number observables. In addition, the interaction between object and probe must be sufficiently weak. Strange weak values can be observed also with mixed probe states, but not for c-number observables.

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