A universal gap for non-spin quantum control systems
نویسندگان
چکیده
We prove the existence of a universal gap for minimum time controllability finite dimensional quantum systems, except some basic representations spin groups. This is equivalent to in diameter orbit spaces corresponding compact connected Lie group unitary actions on Hermitian spheres.
منابع مشابه
Universal Signature of Non-Quantum Systems
It is shown that ‘non-quantum systems’, with anomalous statistical properties, would carry a distinctive experimental signature. Such systems can exist in deterministic hidden-variables theories (such as the pilot-wave theory of de Broglie and Bohm). The signature consists of non-additive expectations for non-commuting observables, breaking the sinusoidal modulation of quantum probabilities for...
متن کاملUniversal Control of Decoupled Quantum Systems
We show that if one can perform a restricted set of fast manipulations on a quantum system, one can implement a large class of dynamical evolutions by effectively removing or introducing selected Hamiltonians. The procedure can be used to achieve universal noise-tolerant control based on purely unitary open-loop transformations of the dynamics. As a result, it is in principle possible to perfor...
متن کاملa new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot
abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...
15 صفحه اولUniversal quantum computation through control of spin-orbit coupling.
We propose a method for quantum computation which uses control of spin-orbit coupling in a linear array of single electron quantum dots. Quantum gates are carried out by pulsing the exchange interaction between neighboring electron spins, including the anisotropic corrections due to spin-orbit coupling. Control over these corrections, even if limited, is sufficient for universal quantum computa...
متن کاملControllability of Spin Systems and Universal Quantum Computing
In this paper we provide an explicit construction of any arbitrary unitary transformation on n qubits from one qubit and a single two qubit quantum gate. Building on the previous work demonstrating the universality of two qubit quantum gates, we present here an explicit implementation. The construction is based on the Cartan decomposition of the semi-simple Lie group SU(2) and uses the geometri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15301