Abstract
Adiabatic techniques can be used to control quantum states with high fidelity while exercising limited control over the parameters of a system. However, because these techniques are slow compared to other timescales in the system, they are usually not suitable for creating highly unstable states or performing time-critical processes. Both of these situations arise in quantum information processing, where entangled states may be isolated from the environment only for a short time and where quantum computers require high-fidelity operations to be performed quickly. Recently it has been shown that techniques like optimal control and shortcuts to adiabaticity can be used to prepare quantum states non-adiabatically with high fidelity. Here we present two examples of how these techniques can be used to create maximally entangled many-body NOON states in one-dimensional Tonks–Girardeau gases.
Highlights
Macroscopic superposition states, such as the maximally entangled |N, 0 + |0, N (NOON) state, are of great interest for fundamental studies of quantum mechanics and for applications in quantum information and quantum metrology
A theoretical proposal for an experimentally realistic setup for creating NOON states for a large number of ultracold atoms was recently presented by Hallwood et al [3], who considered a gas of strongly interacting bosons in a one-dimensional ring
This leaves the system in a NOON state without the need for a potential barrier, which is different from the infidelity, 1 − F infidelity, 1 − F
Summary
Macroscopic superposition states, such as the maximally entangled |N, 0 + |0, N (NOON) state, are of great interest for fundamental studies of quantum mechanics and for applications in quantum information and quantum metrology. A theoretical proposal for an experimentally realistic setup for creating NOON states for a large number of ultracold atoms was recently presented by Hallwood et al [3], who considered a gas of strongly interacting bosons in a one-dimensional ring In this proposed system, states with different angular momentum may become coupled by breaking the rotational symmetry, and the authors have shown how to accelerate the atoms into a superposition state of rotating and non-rotating components. The paper is organised as follows: In Section 2 we begin briefly review the ring system of strongly correlated ultracold atoms proposed by Hallwood et al [3]
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