Error Counting in a Quantum Error-correcting Code and the Ground-State Energy of a Spin Glass(General)
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概要
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Upper and lower bounds are given for the number of equivalence classes of error patterns in the toric code for quantum memory. The results are used to derive a lower bound on the ground-state energy of the ±J Ising spin glass model on the square lattice with symmetric and asymmetric bond distributions. This is a highly non-trivial example in which insights from quantum information lead directly to an explicit result on a physical quantity in the statistical mechanics of disordered systems.
- 社団法人日本物理学会の論文
- 2004-10-15
著者
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Sollich Peter
Department Of Mathematics King's College London
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NISHIMORI Hidetoshi
Department of Physics,Tokyo Institute of Technology
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Nishimori Hidetoshi
Department Of Physics Tokyo Institute Of Technology
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Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
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NISHIMORI Hidetoshi
Department of Physics, Tokyo Institute of Technology
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