Abstract
The ability to reliably prepare non-classical states will play a major role in the realization of quantum technology. NOON states, belonging to the class of Schrödinger cat states, have emerged as a leading candidate for several applications. Here we show how to generate NOON states in a model of dipolar bosons confined to a closed circuit of four sites. This is achieved by designing protocols to transform initial Fock states to NOON states through use of time evolution, application of an external field, and local projective measurements. The evolution time is independent of total particle number, offering an encouraging prospect for scalability. By variation of the external field strength, we demonstrate how the system can be controlled to encode a phase into a NOON state. We also discuss the physical feasibility, via ultracold dipolar atoms in an optical superlattice setup. Our proposal showcases the benefits of quantum integrable systems in the design of protocols.
Highlights
The ability to reliably prepare non-classical states will play a major role in the realization of quantum technology
Where the phase φ typically records information in applications. These include: in the fields of quantum metrology and sensing, performing precision phase-interferometry at the Heisenberg limit[3] and overcoming diffraction limits in quantum lithography[4]; in tests of fundamental physics, NOON states are used to study Bell-type inequalities violation[5]; they offer promising applications in Quantum Communication and Quantum Computing[6], and their utilization is expected to extend to areas such as chemistry and biology[7]
We have addressed the challenging problem of designing protocols to facilitate NOON state creation
Summary
The ability to reliably prepare non-classical states will play a major role in the realization of quantum technology. We show how to generate NOON states in a model of dipolar bosons confined to a closed circuit of four sites This is achieved by designing protocols to transform initial Fock states to NOON states through use of time evolution, application of an external field, and local projective measurements. 1234567890():,; Quantum systems are widely considered to be the most promising foundation for the generation of platforms in computing, communication, measurement, and simulation. This is primarily due to the properties of state superposition and entanglement. Prospects for creating Bose-atom NOON states using a double-well potential were first floated some time ago[18] This early work considered an attractive system, which is prone to instability. The drawback here is that the process is associated with an extremely large time scale
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