Time-dependent Exactly Solvable Models for Quantum Computing

نویسنده

  • A. A. Suzko
چکیده

A time-dependent periodic Hamiltonian admitting exact solutions is applied to construct a set of universal gates for quantum computer. The time evolution matrices are obtained in an explicit form and used to construct logic gates for computation. A way of obtaining entanglement operator is discussed, too. The method is based on transformation of soluble time-independent equations into time-dependent ones by employing a set of special time-dependent transformation operators.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom

The approach of multi-dimensional SUSY Quantum Mechanics is used in an explicit construction of exactly solvable 3-body ( and quasi-exactly-solvable N -body ) matrix problems on a line. From intertwining relations with time-dependent operators, we build exactly solvable non-stationary scalar and 2 × 2 matrix 3-body models which are time-dependent extensions of the Calogero model. Finally, we in...

متن کامل

Supersymmetric Dynamical Invariants

We address the problem of identifying the (nonstationary) quantum systems that admit supersymmetric dynamical invariants. In particular, we give a general expression for the bosonic and fermionic partner Hamiltonians. Due to the supersymmetric nature of the dynamical invariant the solutions of the time-dependent Schrödinger equation for the partner Hamiltonians can be easily mapped to one anoth...

متن کامل

On the Duality of Quasi-Exactly Solvable Problems

It is demonstrated that quasi-exactly solvable models of quantum mechanics admit an interesting duality transformation which changes the form of their potentials and inverts the sign of all the exactly calculable energy levels. This transformation helps one to reveal some new features of quasi-exactly solvable models and associated orthogonal polynomials. [email protected] [email protected]...

متن کامل

v 1 1 0 O ct 1 99 5 Quasi - exactly solvable problems and random matrix theory

There exists an exact relationship between the quasi-exactly solvable problems of quantum mechanics and models of square and rectangular random complex matrices. This relationship enables one to reduce the problem of constructing topological (1/N) expansions in random matrix models to the problem of constructing semiclassical expansions for observ-ables in quasi-exactly solvable problems. Lie a...

متن کامل

Supersymmetry of the Nonstationary Schrödinger Equation and Time-Dependent Exactly Solvable Quantum Models

An essential ingredient of the conventional supersymmetric quantum mechanics (for reviews see [1]) is the well known Darboux transformation [2] for the stationary Schrödinger equation. This transformation permits us to construct new exactly solvable stationary potentials from known ones. Similar constructions may be developed for the time-dependent Schrödinger equation [3]. Our approach to Darb...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008