We investigate accessibility and controllability of a quantum system $S$ coupled to a quantum probe $P$ , both described by two-dimensional Hilbert spaces, under the hypothesis that the external control affects only $P$ . In this context accessibility and controllability properties describe to what extent it is possible to drive the state of the system $S$ by acting on $P$ and using the interaction between the two systems. We give necessary and sufficient conditions for these properties and we discuss the relation with the entangling capability of the interaction between $S$ and $P$ . In particular, we show that controllability can be expressed in terms of the SWAP and $\sqrt{\mathrm{SWAP}}$ operators acting on the composite system.We investigate accessibility and controllability of a quantum system $S$ coupled to a quantum probe $P$, both described by two-dimensional Hilbert spaces, under the hypothesis that the external control affects only $P$. In this context accessibility and controllability properties describe to what extent it is possible to drive the state of the system $S$ by acting on $P$ and using the interaction between the two systems. We give necessary and sufficient conditions for these properties and we discuss the relation with the entangling capability of the interaction between $S$ and $P$. In particular, we show that controllability can be expressed in terms of the SWAP and $\sqrt{\mathrm{SWAP}}$ operators acting on the composite system.

Physical Review AFeb 14, 200662 citations

Entanglement Characteristics in Two-Dimensional Coupled Cavity Systems

邱昌东 Qiu Changdong, 卢道明 Lu Daoming

Acta Optica SinicaJan 1, 20160 citations

Entanglement dynamics in chaotic systems (5 pages)

Barry C. Sanders, Shohini Ghose

Physical Review AJan 1, 20042 citations

Incoherent control and entanglement for two-dimensional coupled systems

Raffaele Romano, Domenico D’Alessandro

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. 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.

arXiv:quant-ph/0510020Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEMay 5, 20062 citations

Studies in quantum control and quantum entanglement

Aikaterini Mandilara

Jan 1, 20050 citations

Heralded generation of maximal entanglement in any dimension via incoherent coupling to thermal baths

Armin Tavakoli, Géraldine Haack, Marcus Huber +2 more

We present a scheme for dissipatively generating maximal entanglement in a heralded manner. Our setup requires incoherent interactions with two thermal baths at different temperatures, but no source of work or control. A pair of (d+1)-dimensional quantum systems is first driven to an entangled steady state by the temperature gradient, and maximal entanglement in dimension d can then be heralded via local filters. We discuss experimental prospects considering an implementation in superconducting systems.We present a scheme for dissipatively generating maximal entanglement in a heralded manner. Our setup requires incoherent interactions with two thermal baths at different temperatures, but no source of work or control. A pair of (d+1)-dimensional quantum systems is first driven to an entangled steady state by the temperature gradient, and maximal entanglement in dimension d can then be heralded via local filters. We discuss experimental prospects considering an implementation in superconducting systems.

Jan 1, 201831 citations

We investigate accessibility and controllability of a quantum system

S

coupled to a quantum probe

P

, both described by two-dimensional Hilbert spaces, under the hypothesis that the external control affects only

P

. In this context accessibility and controllability properties describe to what extent it is possible to drive the state of the system

S

by acting on

P

and using the interaction between the two systems. We give necessary and sufficient conditions for these properties and we discuss the relation with the entangling capability of the interaction between

S

and

P

. In particular, we show that controllability can be expressed in terms of the SWAP and

\sqrt{\mathrm{SWAP}}

operators acting on the composite system.