Determination of Multimode Motional Quantum States in a Trapped Ion System

Jia, Zhubing; Wang, Ye; Zhang, Bichen; Whitlow, Jacob; Fang, Chao; Kim, Jungsang; Brown, Kenneth R.

doi:10.1103/physrevlett.129.103602

Determination of Multimode Motional Quantum States in a Trapped Ion System

Journal Article · Wed Aug 31 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.129.103602· OSTI ID:1980315

^[1]; ^[2]; ^[3]; Whitlow, Jacob ^[2]; Fang, Chao ^[2]; Kim, Jungsang ^[4]; ^[2]

Duke Univ., Durham, NC (United States); OSTI
Duke Univ., Durham, NC (United States)
Duke Univ., Durham, NC (United States); Princeton Univ., NJ (United States)
Duke Univ., Durham, NC (United States) ; IonQ, Inc., College Park, MD (United States)

Trapped atomic ions are a versatile platform for studying interactions between spins and bosons by coupling the internal states of the ions to their motion. Measurement of complex motional states with multiple modes is challenging, because all motional state populations can only be measured indirectly through the spin state of ions. Here we present a general method to determine the Fock state distributions and to reconstruct the density matrix of an arbitrary multimode motional state. Further, we experimentally verify the method using different entangled states of multiple radial modes in a five-ion chain. This method can be extended to any system with Jaynes-Cummings-type interactions.

View Accepted Manuscript (DOE)

Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: National Science Foundation (NSF); US Army Research Office (ARO); USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019294; SC0019449

OSTI ID:: 1980315

Alternate ID(s):: OSTI ID: 2280972

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 129; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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