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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Stabilizing entangled states with quasi-local quantum dynamical semigroups.

Francesco Ticozzi¹, Lorenza Viola

¹Dipartimento di Ingegneria dell'Informazione, Università di Padova, Italy.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|October 24, 2012

Summary

We present a method to determine if a target quantum state can be prepared using dissipative dynamics. Our approach offers an explicit test for stabilization, applicable to entangled states under locality constraints.

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Area of Science:

Quantum Information Science
Quantum Dynamics
Quantum Control

Background:

Preparing specific quantum states is crucial for quantum technologies.
Dissipative Markovian dynamics offer a pathway for state preparation.
Constraints like locality and fixed dynamics pose challenges.

Purpose of the Study:

To develop a method for determining the asymptotic preparation of target pure states.
To provide an explicit stabilization test for dissipative quantum state preparation.
To explore connections with frustration-free Hamiltonians and control implementations.

Main Methods:

Formulating a solution based on the input state and problem constraints.
Analyzing dissipative Markovian dynamics under fixed locality constraints.
Investigating links to frustration-free parent Hamiltonians and output-feedback control.

Main Results:

An explicit stabilization test is derived, solely based on the input state and constraints.
Existing results for preparing entangled states are recovered.
The method is applicable to a broad class of physically relevant states.

Conclusions:

The developed solution provides a practical tool for assessing quantum state preparation feasibility.
The explicit test simplifies the analysis of dissipative dynamics for state preparation.
The work opens avenues for implementing quantum control strategies.