منابع مشابه
Robust gates for holonomic quantum computation
Giuseppe Florio, 2 Paolo Facchi, 2 Rosario Fazio, 5 Vittorio Giovannetti, and Saverio Pascazio Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy INFN, Sezione di Bari, I-70126 Bari, Italy Dipartimento di Matematica, Università di Bari, I-70125 Bari, Italy NEST CNR-INFM & Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy International School for Advanced Studies (...
متن کاملExact solutions for universal holonomic quantum gates
We show how one can implement any local quantum gate on specific qubits in an array of qubits by carrying adiabatically a Hamiltonian around a closed loop. We find the exact form of the loop and the Hamiltonian for implementing general one and two qubits gates. Our method is analytical and is not based on numerical search in the space of all loops. email:[email protected] email:[email protected]...
متن کاملEvaluation of holonomic quantum computation: adiabatic versus nonadiabatic.
Based on the analytical solution to the time-dependent Schrödinger equations, we evaluate the holonomic quantum computation beyond the adiabatic limit. Besides providing rigorous confirmation of the geometrical prediction of holonomies, the present dynamical resolution offers also a practical means to study the nonadiabaticity induced effects for the universal qubit operations.
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An exact analytical solution is derived for the wave function of an electron in a one-dimensional moving quantum dot in a nanowire, in the presence of time-dependent spin-orbit coupling. For cyclic evolutions we show that the spin of the electron is rotated by an angle proportional to the area of a closed loop in the parameter space of the time-dependent quantum dot position and the amplitude o...
متن کاملRealization of arbitrary gates in holonomic quantum computation
Among the many proposals for the realization of a quantum computer, holonomic quantum computation is distinguished from the rest as it is geometrical in nature and thus expected to be robust against decoherence. Here we analyze the realization of various quantum gates by solving the inverse problem: Given a unitary matrix, we develop a formalism by which we find loops in the parameter space gen...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2012
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.86.062322