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Spin squeezing and pairwise entanglement for symmetric multiqubit states
Open accessAbstract
We show that spin squeezing implies pairwise entanglement for arbitrary symmetric multiqubit states. If the squeezing parameter is less than or equal to 1, we demonstrate a quantitative relation between the squeezing parameter and the concurrence for the even and odd states. We prove that the even states generated from the initial state with all qubits being spin down, via the one-axis twisting Hamiltonian, are spin squeezed if and only if they are pairwise entangled. For the states generated via the one-axis twisting Hamiltonian with an external transverse field for any number of qubits greater than 1 or via the two-axis countertwisting Hamiltonian for any even number of qubits, the numerical results suggest that such states are spin squeezed if and only if they are pairwise entangled.
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Citations
Cites
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
Entanglement of a pair of quantum bits
Hill, S., & Wootters, W. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.5022 · Cited by 2,823
Quantum Information Processing Using Quantum Dot Spins and Cavity QED
Imamog¯lu, A., Awschalom, D. D., Burkard, G., DiVincenzo, D. P., Loss, D., Sherwin, M., & Small, A. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4204 · Cited by 1,995
Cited by
Degen, C. L., Reinhard, F., & Cappellaro, P. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.035002 · Cited by 4,045
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Entanglement, Nonlinear Dynamics, and the Heisenberg Limit
Pezzé, L., & Smerzi, A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.100401 · Cited by 880
Quantum-enhanced measurements without entanglement
Braun, D., Adesso, G., Benatti, F., Floreanini, R., Marzolino, U., Mitchell, M. W., & Pirandola, S. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035006 · Cited by 434
Metadata
- Authors
- Wang, X., & Sanders, B. C.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-07-02
- Volume
- 68
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2073210984
- Cited by
- 228
- References
- 3
- FWCI
- 7.07
- Type
- journal article
- Language
- en
- Open access
- green
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- Wang, X., & Sanders, B. C. (2003). Spin squeezing and pairwise entanglement for symmetric multiqubit states. Physical Review A. https://doi.org/10.1103/physreva.68.012101
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