The distinctive symmetry of Bell states
- URL: http://arxiv.org/abs/2308.07274v1
- Date: Mon, 14 Aug 2023 17:02:41 GMT
- Title: The distinctive symmetry of Bell states
- Authors: Alejandro Hnilo
- Abstract summary: The Bell's basis is composed of four maximally entangled states of two qubits.
The aim of this paper is to find out the symmetries that determine a Bell state.
- Score: 65.268245109828
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Bell's basis is composed of four maximally entangled states of two
qubits, named Bell states. They are usual tools in many theoretical studies and
experiments. The aim of this paper is to find out the symmetries that determine
a Bell state. For this purpose, starting from a general density matrix,
physical constraints and symmetry conditions are added until the elements of
the Bell's basis are univocally determined. It is found that the usual physical
constraints and symmetry conditions do not suffice to determine a Bell state.
The additional restriction needed is named here atomic symmetry. It is a sort
of global symmetry of the system, not derived from the action = reaction law.
It is also found that the imperfection in fulfilling the atomic symmetry is
linearly proportional to the deviation of the Concurrence from its maximum
value. The atomic symmetry allows a different insight on the nature of
entanglement, and might be useful as a criterion to define the condition of
maximal entanglement for states with more than two qubits.
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