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(4,1)-Quantum Random Access Coding Does Not Exist | | Masahito Hayashi
; Kazuo Iwama
; Harumichi Nishimura
; Rudy Raymond
; Shigeru Yamashita
; | | Date: |
10 Apr 2006 | | Abstract: | An (n,1,p)-Quantum Random Access (QRA) coding, introduced by Ambainis, Nayak, Ta-shma and Vazirani in ACM Symp. on Theory of Computing 1999, is the following communication system: The sender which has n-bit information encodes his/her information into one qubit, which is sent to the receiver. The receiver can recover any one bit of the original n bits correctly with probability at least p, through a certain decoding process based on positive operator-valued measures. Actually, Ambainis et al. shows the existence of a (2,1,0.85)-QRA coding and also proves the impossibility of its classical counterpart. Chuang immediately extends it to a (3,1,0.79)-QRA coding and whether or not a (4,1,p)-QRA coding such that p > 1/2 exists has been open since then. This paper gives a negative answer to this open question. | | Source: | arXiv, quant-ph/0604061 | | Services: | Forum | Review | PDF | Favorites | |
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