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Quantum Information and Computation

Quantum universality by state distillationIndirect quantum control for finite-dimensional coupled systems

J. Nie, H. C. Fu, X. X. Yi

Published Jan 1, 2010• 2 citations
Publisher

Abstract

We present a new analysis on the quantum control for a quantum system coupled to a quantum probe. This analysis is based on the coherent control for the quantum system and a hypothesis that the probe can be prepared in specified initial states. The results show that a quantum system can be manipulated by probe state-dependent coherent control. In this sense, the present analysis provides a new control scheme which combines the coherent control and state preparation technology.

DOI
10.26421/qic10.1-2-7

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We present a new analysis on the quantum control for a quantum system coupled to a quantum probe. This analysis is based on the coherent control for the quantum system and a hypothesis that the probe can be prepared in specified initial states. The results show that a quantum system can be manipulated by probe state-dependent coherent control. In this sense, the present analysis provides a new control scheme which combines the coherent control and state preparation technology.
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We study a new approach to the control of a quantum system S, which uses the coupling of S with a quantum probe P. The external control affects only P, and the accessibility and controllability properties describe to what extent it is possible to drive the state of S by varying the initial state of P and using the interaction between the two systems. In particular, we study the case of two-dimensional system and probe. Two situations are considered: either the total system S + P is a closed one, or it is surrounded by a bath of decoupled harmonic oscillators. We give results on the controllability and accessibility properties of this scheme, and we discuss the relation of these properties with the entangling capability of the interaction between S and P. In particular, we show that the SWAP operator plays a special role.
We study a new approach to the control of a quantum system S, which uses the coupling of S with a quantum probe P, rather than a direct action on S. The external control affects only P, and the accessibility and controllability properties describe to what extent it is possible to drive the state of S by varying the initial state of P and using the interaction between the two systems. In particular, we study the case of two-dimensional system and probe. Two situations are considered: either the total system S+P is a closed one, or it is surrounded by a bath of decoupled harmonic oscillators. We give results on the controllability and accessibility properties of this scheme, and we discuss the relation of these properties with the entangling capability of the interaction between S and P. In particular, we show that the SWAP operator plays a special role
Individual spin defects in solids are promising building blocks for quantum technologies, but their deterministic creation, individual addressability, and operation near surfaces remain major challenges. Two-dimensional materials provide an attractive alternative, as their single-layer thickness enables direct atomic-scale access to defect states. Here, we demonstrate single-spin control of solid-state defects in a two-dimensional semiconductor by a combination of scanning tunneling microscopy and electron spin resonance. We create and manipulate individual sulfur vacancies and carbon substitution defects in monolayer molybdenum disulfide and characterize their spin dynamics, including coherent control, at the single-defect level. Using atomic manipulation, we further engineer and probe spin-spin interactions between defect pairs. Our results demonstrate deterministic creation, addressability, coherent manipulation, and controlled coupling of individual spin defects within a single experimental platform. This establishes atomically engineered spin defects in two-dimensional semiconductors as a versatile class of controllable solid-state quantum systems and opens a route towards tailored quantum sensing experiments.
We propose and analyze a new approach to the coherent control and manipulation of quantum degrees of freedom in disordered, interacting systems in the many-body localized phase. Our approach leverages a number of unique features of many-body localization: a lack of thermalization, a locally gapped spectrum, and slow dephasing. Using the technique of quantum phase estimation, we demonstrate a protocol that enables the local preparation of a many-body system into an effective eigenstate. This leads to the ability to encode information and control interactions without full microscopic knowledge of the underlying Hamiltonian. Finally, we analyze the effects of weak coupling to an external bath and provide an estimate for the fidelity of our protocol.