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Loss of Exchange Symmetry in Multiqubit States under Ising Chain Evolution |
| Sudha1,2**, B. G. Divyamani1, A. R. Usha Devi3,4
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1Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451, India
2DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA, UK.
3Department of Physics, Bangalore University, Bangalore-560 056, India
4Inspire Institute Inc., McLean, VA 22101, USA.
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| Cite this article: |
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Sudha, B. G. Divyamani, A. R. Usha Devi 2011 Chin. Phys. Lett. 28 020305 |
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Abstract Keeping in view of importance of exchange symmetry aspects in studies on spin squeezing of multiqubit states, we show that the one-dimensional Ising Hamiltonian with nearest neighbor interactions does not retain the exchange symmetry of initially symmetric multiqubit states. Specifically we show that among 4−qubit states obeying exchange symmetry, all states except W class (and their linear combination) lose their symmetry under time evolution with Ising Hamiltonian. Attributing the loss of symmetry of the initially symmetric states to rotational asymmetry of the one-dimensional Ising Hamiltonian with more than 3 qubits, we indicate that all N−qubit states (N≥5) obeying permutation symmetry lose their symmetry after time evolution with Ising Hamiltonian.
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| Keywords:
03.65.Ud
75.10.Jm
42.50.Dv
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Received: 17 June 2010
Published: 30 January 2011
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| PACS: |
03.65.Ud
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(Entanglement and quantum nonlocality)
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75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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42.50.Dv
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(Quantum state engineering and measurements)
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