4.5 Article

Efficient Direct Measurement of Arbitrary Quantum Systems via Weak Measurement

Journal

PHYSICAL REVIEW APPLIED
Volume 12, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevApplied.12.014045

Keywords

-

Funding

  1. National Key R&D Program of China [2017YFA0305200, 2018YFA0306600, 2017YFA0305000]
  2. National Natural Science Foundation of China (NNSFC) [11605205, 81788101, 11761131011, 11775209]
  3. Anhui Initiative in Quantum Information Technologies [AHY050000]
  4. Natural Science Foundation of Chongqing [cstc2015jcyjA00021, cstc2018jcyjAX0656]
  5. Entrepreneurship and Innovation Support Program for Chongqing Overseas Returnees [cx2017134, cx2018040]
  6. Chinese Academy of Sciences (CAS) [GJJSTD20170001, QYZDY-SSW-SLH004]
  7. Innovative Program of the Development Foundation of Hefei Center for Physical Science and Technology [2017FXCX005]
  8. Fundamental Research Funds for the Central Universities
  9. CAS Key Laboratory of Microscale Magnetic Resonance
  10. CAS Key Laboratory of Quantum Information
  11. Thousand-Young-Talent Program of China

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Obtaining the density matrix that fully describes a quantum system is central to quantum science. Recently, the technique of direct measurement has been proposed to characterize a quantum state in situ; however, all the existing schemes require sequential weak and strong measurements, which strongly limits their practical application. Here, we present an efficient scheme for directly measuring arbitrary quantum matrix elements with only one strong measurement or weak measurement on each qudit. Our scheme is experimentally feasible for the direct measurement of arbitrary quantum states; in particular, multiparticle quantum entangled states. This scheme has applications in the characterization of large-scale quantum systems.

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