In recent times, quantum computing and quantum information science have generated huge interest among the scientific fraternity primarily because of its (i) prospective applications in tackling the so-called hard problems of computer science; (ii) prospects of widespread interdisciplinary applications in various domains of human knowledge, ranging from telecommunications to biological sciences; and (iii) most importantly because of its elegant theoretical construct and challenges for practical implementation. Quantum Teleportation (QT) is one such area of application which deals with transporting an arbitrary quantum state from one location to another location, separated by a space like distance using entangled resources. In the last couple of years, a huge body of work has been carried out in the field of QT of single- and multiple-qubit superposition states, using different types of entanglement resources. In this paper, QT of a single-qubit superposition state is presented using a maximally entangled Greenberger–Horne–Zeilinger state (GHZ state) as an entanglement resource and conducting quantum measurement either as a two-stage process (firstly on Bell basis and subsequently on Hadamard basis) or as a single-stage process purely on GHZ basis. We also demonstrate that in this process of QT, the participation of the third party may not be essential, which is contrary to the procedure adopted in any GHZ based QT schemes. The entire QT scheme is explained using a somewhat different but convenient notation, particularly useful for multiple-qubit cases.

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Single-Qubit Quantum Teleportation Using Three-Qubit Greenberger–Horne–Zeilinger (GHZ) State as Entanglement Resource and Basis for Quantum Measurement

  • Sujit Chattopadhyay,
  • Debashis Adhikari

摘要

In recent times, quantum computing and quantum information science have generated huge interest among the scientific fraternity primarily because of its (i) prospective applications in tackling the so-called hard problems of computer science; (ii) prospects of widespread interdisciplinary applications in various domains of human knowledge, ranging from telecommunications to biological sciences; and (iii) most importantly because of its elegant theoretical construct and challenges for practical implementation. Quantum Teleportation (QT) is one such area of application which deals with transporting an arbitrary quantum state from one location to another location, separated by a space like distance using entangled resources. In the last couple of years, a huge body of work has been carried out in the field of QT of single- and multiple-qubit superposition states, using different types of entanglement resources. In this paper, QT of a single-qubit superposition state is presented using a maximally entangled Greenberger–Horne–Zeilinger state (GHZ state) as an entanglement resource and conducting quantum measurement either as a two-stage process (firstly on Bell basis and subsequently on Hadamard basis) or as a single-stage process purely on GHZ basis. We also demonstrate that in this process of QT, the participation of the third party may not be essential, which is contrary to the procedure adopted in any GHZ based QT schemes. The entire QT scheme is explained using a somewhat different but convenient notation, particularly useful for multiple-qubit cases.