• Chinese Optics Letters
  • Vol. 19, Issue 11, 112701 (2021)
Zhiguang Pang1、2、3, Jiang Gao1、2、3, Tianlei Hou1、2、3, Min Wei1、2、3, Jian Li1、2、3、*, and Qin Wang1、2、3、**
Author Affiliations
  • 1Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications (NUPT), Nanjing 210003, China
  • 2Key Laboratory of Broadband Wireless Communication and Sensor Network Technology of Ministry of Education, NUPT, Nanjing 210003, China
  • 3Telecommunication and Networks National Engineering Research Center, NUPT, Nanjing 210003, China
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    DOI: 10.3788/COL202119.112701 Cite this Article Set citation alerts
    Zhiguang Pang, Jiang Gao, Tianlei Hou, Min Wei, Jian Li, Qin Wang. Sequential 3 → 1 quantum random access code utilizing unsharp measurements[J]. Chinese Optics Letters, 2021, 19(11): 112701 Copy Citation Text show less

    Abstract

    Quantum random access codes (QRACs) are important communication tasks that are usually implemented in prepare-and-measure scenarios. The receiver tries to retrieve one arbitrarily chosen bit of the original bit-string from the code qubit sent by the sender. In this Letter, we analyze in detail the sequential version of the 31 QRAC with two receivers. The average successful probability for the strategy of unsharp measurement is derived. The prepare-and-measure strategy within projective measurement is also discussed. It is found that sequential 31 QRAC with weak measurement cannot be always superior to the one with projective measurement, as the 21 version can be.
    Psucc=1n2nx,yP(b=xy|x,y).

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    Psucc=1n2nx,yP(b=xy|x,y)+1αn2nx,zP(c=xz|x,z),

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    PsuccB=124x,yP(b=xy|x,y),

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    ρx=12I+123i(1)xiσi,

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    Kb|y=λ+1λ2I+λ1λ2(1)bσy,

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    ρx=13b,yKb|yρxKb|y.

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    PsuccC=124x,zP(c=xz|x,z).

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    PsuccB=12+2λ123,

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    PsuccC=12+1+4λ(1λ)63.

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    λ=12+3α248α+13α2.

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    PsuccPOVM=12+1α63+16348α+13α2.

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    Psucc=α2+(1α)(12+123).

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    PsuccPVM=172x,y,z,b,ctr[σx,byNcz][αδb,xy+(1α)δc,xz],

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    σx,by=|ψby|ϕx|2|ψbyψby|.

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    |ψ|ϕ|2=tr(ρ1ρ2)=12(1+r1·r2).

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    Zhiguang Pang, Jiang Gao, Tianlei Hou, Min Wei, Jian Li, Qin Wang. Sequential 3 → 1 quantum random access code utilizing unsharp measurements[J]. Chinese Optics Letters, 2021, 19(11): 112701
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