Quantum teleportation of an arbitrary two qubit state and its relation to multipartite entanglement
Open accessAbstract
We explicitly show a protocol in which an arbitrary two qubit state $\ensuremath{\mid}\ensuremath{\phi}⟩=a\ensuremath{\mid}00⟩+b\ensuremath{\mid}01⟩+c\ensuremath{\mid}10⟩+d\ensuremath{\mid}11⟩$ is faithfully and deterministically teleported from Alice to Bob. We construct the 16 orthogonal generalized Bell states that can be used to teleport the two qubits. The local operations Bob must perform on his qubits in order to recover the teleported state are also constructed. They are restricted only to single-qubit gates. This means that a controlled-NOT gate is not necessary to complete the protocol. A generalization where $N$ qubits are teleported is also shown. We define a generalized magic basis, which possesses interesting properties. These properties help us to suggest a generalized concurrence from which we construct a measure of entanglement that has a clear physical interpretation: A multipartite state has maximum entanglement if it is a genuine quantum teleportation channel.
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In the specific case of two-level systems, the choice c^(1234)_4 measures the potential of a given state for multi-particle teleportation.
“In the specific case of two-level systems, this particular choice of c (1234) 4 measures the potential of a given state for multi-particle teleportation [72].”
From Measures and dynamics of entangled states (2005) · cites this paper as [72]
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Measures and dynamics of entangled states
Mintert, F., Carvalho, A. R. R., Kuś, M., & Buchleitner, A. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.04.006 · Cited by 420 · see citing works
- Authors
- Rigolin, G.
- Affiliations
- Universidade Estadual de Campinas (UNICAMP) (BR)
- Corresponding author
- Rigolin, Gustavo
- ORCID
- Rigolin, Gustavo
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-03-07
- Volume
- 71
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2086965045
- Cited by
- 315
- References
- 13
- Citations by year
- 2026: 8 · 2025: 14 · 2024: 13 · 2023: 11 · 2022: 11 · 2021: 16 · 2020: 14 · 2019: 13 · 2018: 10 · 2017: 13 · 2016: 10 · 2015: 18 · 2014: 10 · 2013: 13 · 2012: 10
- FWCI
- 22.56
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (publishedVersion, other-oa)
- Americanae (AECID Library) (submittedVersion, other-oa)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum teleportation, two-qubit states, generalized Bell states, multipartite entanglement, entanglement measures
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