Maximally entangled state and Bell’s inequality in qubits
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, MD 20742 (United States)
- Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan, ROC (China)
- National Center for Theoretical Sciences, National Tsing-Hua University, Hsinchu 30013, Taiwan, ROC (China)
A maximally entangled state is a quantum state which has maximum von Neumann entropy for each bipartition. Through proposing a new method to classify quantum states by using concurrences of pure states of a region, one can apply Bell’s inequality to study intensity of quantum entanglement of maximally entangled states. We use a class of seven-qubit quantum states to demonstrate the method, in which we express all coefficients of the quantum states in terms of concurrences of pure states of a region. When a critical point of an upper bound of Bell’s inequality occurs in our quantum states, one of the quantum state is a ground state of the toric code model on a disk manifold. Our result also implies that the maximally entangled states do not suggest local maximum quantum entanglement in our quantum states.
- OSTI ID:
- 22848368
- Journal Information:
- Annals of Physics, Journal Name: Annals of Physics Vol. 395; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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