Non-holonomic Control Ii : Non-holonomic Quantum Devices
نویسندگان
چکیده
In this paper, we show how the non-holonomic control technique can be employed to build completely controlled quantum devices. Examples of such controlled structures are provided.
منابع مشابه
Non-adiabatic holonomic quantum computation in linear system-bath coupling
Non-adiabatic holonomic quantum computation in decoherence-free subspaces protects quantum information from control imprecisions and decoherence. For the non-collective decoherence that each qubit has its own bath, we show the implementations of two non-commutable holonomic single-qubit gates and one holonomic nontrivial two-qubit gate that compose a universal set of non-adiabatic holonomic qua...
متن کاملNon-holonomic Control I
In this paper, we present a universal control technique, the non-holonomic control, which allows us to impose any arbitrarily prescribed unitary evolution to any quantum system through the alternate application of two well-chosen perturbations.
متن کاملOptical Holonomic Quantum Computer
In this paper the idea of holonomic quantum computation is realized within quantum optics. In a non-linear Kerr medium the degenerate states of laser beams are interpreted as qubits. Displacing devices, squeezing devices and interferometers provide the classical control parameter space where the adiabatic loops are performed. This results into logical gates acting on the states of the combined ...
متن کاملHamilton equations for non-holonomic systems
Hamilton equations for Lagrangian systems on fibred manifolds, subjected to general non-holonomic constraints (i.e., not necessarily affine in the velocities) are studied. Conditions for existence of a non-holonomic Legendre transformation are discussed, and the corresponding formulas for constraint momenta and Hamiltonian are found.
متن کاملQuantum Computer II
This is a sequel to the papers (quant-ph/9910063) and (quant-ph/0004102). The aim of this paper is to give mathematical foundations to Holonomic Quantum Computation (Computer) proposed by Zanardi and Rasetti (quant-ph/9904011) and Pachos and Chountasis (quant-ph/9912093). In 2-qubit case we give an explicit form to non-abelian Berry connection of quantum computational bundle which is associated...
متن کامل