An adiabatic Leakage Elimination Operator in experimental framework

Abstract

Adiabatic evolution is used in a variety of quantum information processing tasks. However, the elimination of errors is not as well-developed as it is for circuit model processing. Here, we present a strategy to accelerate a reliable quantum adiabatic process by adding Leakage Elimination Operators (LEO) to the evolution which are a sequence of pulse controls acting in an adiabatic subspace. Using the Feshbach $PQ$ partitioning technique, we obtain an analytical solution which traces the footprint of the target eigenstate. The effectiveness of the LEO is independent of the specific form of the pulse but depends on the average frequency of the control function. Furthermore, we give the exact expression of the control function in an experimental framework by a counter unitary transformation, thus the physical meaning of the LEO is clear. Our results reveal the equivalence of the control function between two different formalisms which aids in implementation.

References in corpus (10)

• Quantum speed limits in open system dynamics
• Bounds for the adiabatic approximation with applications to quantum computation
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Master Equation and Control of an Open Quantum System with Leakage
• Transport in a harmonic trap: shortcuts to adiabaticity and robust protocols
• Nonperturbative Leakage Elimination Operators and Control of a Three-Level System
• Heat flux operator, current conservation and the formal Fourier's law
• Adiabatic many-body state preparation and information transfer in quantum dot arrays
• Adiabatic Quantum Transport in a Spin Chain with a Moving Potential
• Expedited Holonomic Quantum Computation in Decoherence-Free Subspace

Cited by in corpus (5)

• Handling Leakage with Subsystem Codes
• Stochastic learning control of adiabatic speedup in a non-Markovian open qutrit system
• Optimized control for high-fidelity state transmission in open systems
• Nonperturbative leakage elimination for a logical qubit encoded in a mechanical oscillator
• Experimental implementation of leakage elimination operators