Abstract
In the present paper, we study spin squeezing under decoherence in the superposition of tripartite maximally entangled GHZ and W states. Here we use amplitude damping, phase damping and depolarisation channel. We have investigated the dynamics of spin squeezing with the interplay of super-position and decoherence parameters with different directions of the mean spin vector. We have found the mixture of GHZ and W states is robust against spin squeezing generation for amplitude damping and phase damping channels for certain directions of the mean spin vector. However, the depolarisation channel performs well for spin squeezing generation and generates permanent spin squeezing in the superposition of GHZ and W states.
Highlights
Spin squeezing (SS)[1,2,3] has strong connection with entanglement[4, 5] and play the important role in quantum information theory
We recall that the direction of mean spin vector play an important role to examine the spin squeezing generation, its direction can be represented on the surface of unit Bloch sphere with the combinations of angles (θ, φ)
We present the results in a table with the parameters (θ, φ) for which there is no SS generation found in superposition of GHZ and W states with (∀α)
Summary
Spin squeezing (SS)[1,2,3] has strong connection with entanglement[4, 5] and play the important role in quantum information theory. It is difficult to sustain squeezing in light for a long time, so scientific community has an alternative to transfer this squeezing in atomic systems to store quantum information. This technique has the great impact to design photonic quantum memories where photos are used as an information carrier. In continuation of our study and taking the motivations from the limited studies on the effect of decoherence on spin squeezing, we proceed with the spin squeezing generation in the superposition of maximally entangled GHZ and W states in the present letter. To begin with the decoherence dynamics, here we present the quantum decoherence channels, which play the important role to study the spin squeezing characteristics in Eq..
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