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Practical measurement of joint weak values and their connection to the annihilation operator

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J. S. Lundeen, K. J. Resch

Quantum Physics · Submitted 13 Jan 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We also show that the resulting ``joint weak values'' take on a particularly elegant form when expressed in terms of annihilation operators.

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arXiv IDquant-ph/0501072 (version 1)
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CitationJ. S. Lundeen, K. J. Resch. "Practical measurement of joint weak values and their connection to the annihilation operator." arXiv:quant-ph/0501072 (2005). https://pith.science/paper/FCOLCQA5
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,651 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.11 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.82 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Weak measurements are a new tool for characterizing post-selected quantum systems during their evolution. Weak measurement was originally formulated in terms of von Neumann interactions which are practically available for only the simplest single-particle observables. In the present work, we extend and greatly simplify a recent, experimentally feasible, reformulation of weak measurement for multiparticle observables [Resch and Steinberg (2004, Phys. Rev. Lett., 92, 130402)]. We also show that the resulting ``joint weak values'' take on a particularly elegant form when expressed in terms of annihilation operators.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Weak measurements are a new tool for characterizing post-selected quantum systems during their evolution. background 1.00 0.06 0.04 asserted 1.00
s1 Weak measurement was originally formulated in terms of von Neumann interactions which are practically available for only the simplest single-particle observables. background 0.91 0.04 0.03 asserted 1.00
s2 In the present work, we extend and greatly simplify a recent, experimentally feasible, reformulation of weak measurement for multiparticle observables [Resch and Steinberg (2004, Phys. Rev. Lett., 92, 130402)]. contribution 1.00 0.87 0.17 asserted 1.00
s3 We also show that the resulting ``joint weak values'' take on a particularly elegant form when expressed in terms of annihilation operators. result 0.95 0.93 0.48 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.93 · evidence from proof or derivation 0.94.

What was examined, and what was not

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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Weak measurements are a new tool for characterizing post-selected quantum systems during their evolution. Weak measurement was originally formulated in terms of von Neumann interactions which are practically available for only the simplest single-particle observables. In the present work, we extend and greatly simplify a recent, experimentally feasible, reformulation of weak measurement for multiparticle observables [Resch and Steinberg (2004, Phys. Rev. Lett., 92, 130402)]. We also show that the resulting ``joint weak values'' take on a particularly elegant form when expressed in terms of annihilation operators.

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