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Springer eBooks

Opening

Marc Henneaux A

Published Jan 1, 2009• 0 citations
Publisher
DOI
10.1007/978-0-387-87499-9_2

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Boston studies in the philosophy of science•Jan 1, 1987•0 citations
This paper demonstrates that the decoherence-free subsystem of open quantum dynamical system is open-loop controllable if the suitable coherent controls are permitted. This result is in marked contrast to the fact that open quantum dynamical systems are not open-loop controllable. In other words, combining the decoherence-free subsystem condition with coherent control on the open quantum dynamical systems will enhance the ability to suppress the decoherence and to manipulate open quantum dynamical systems.
Quantum technologies, such as communication, computing, and sensing, offer vast opportunities for advanced research and development. While an open-source ethos currently exists within some quantum technologies, especially in quantum computer programming, we argue that there are additional advantages in developing open quantum hardware (OQH). Open quantum hardware encompasses open-source software for the control of quantum devices in labs, blueprints, and open-source toolkits for chip design and other hardware components, as well as openly accessible testbeds and facilities that allow cloud-access to a wider scientific community. We provide an overview of current projects in the OQH ecosystem, identify gaps, and make recommendations on how to close them at present. More open quantum hardware would accelerate technology transfer to and growth of the quantum industry and increase accessibility in science.
In this paper, we study the recurrence of Open Quantum Walks induced by finite-dimensional coins on the line (Z\mathbb{Z}Z) and on the grid (Z2\mathbb{Z}^2Z2). Two versions are considered: discrete-time open quantum walks (OQW) and continuous-time open quantum walks (CTOQW). We present three distinct recurrence criteria for OQWs on Z\mathbb{Z}Z, each adapted to different types of coins. The first criterion applies to coins whose auxiliary map has a unique invariant state, resulting in the first recurrence criterion for Lazy OQWs. The second one applies to Lazy OQWs of dimension 2, where we provide a complete characterization of the recurrence for this low-dimensional case. The third one presents a general criterion for finite-dimensional coins in the non-lazy case, which generalizes many of the previously known results for OQWs on Z\mathbb{Z}Z. Also, we present a general recurrence criterion for OQWs on Z2\mathbb{Z}^2Z2 via the open quantum jump chain, obtained from a recurrence criterion for CTOQWs on Z2\mathbb{Z}^2Z2.