Implementing unitary operators in quantum computation

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pseudo-Unitary Operators and Pseudo-Unitary Quantum Dynamics

We consider pseudo-unitary quantum systems and discuss various properties of pseudounitary operators. In particular we prove a characterization theorem for block-diagonalizable pseudo-unitary operators with finite-dimensional diagonal blocks. Furthermore, we show that every pseudo-unitary matrix is the exponential of i = √ −1 times a pseudo-Hermitian matrix, and determine the structure of the L...

متن کامل

Optimal computation with non-unitary quantum walks

Quantum versions of random walks on the line and the cycle show a quadratic improvement over classical random walks in their spreading rates and mixing times respectively. Non-unitary quantum walks can provide a useful optimisation of these properties, producing a more uniform distribution on the line, and faster mixing times on the cycle. We investigate the interplay between quantum and random...

متن کامل

ON QUANTUM GROUP OF UNITARY OPERATORS QUANTUM ‘az + b’ GROUP

The concept of a quantum group of unitary operators is relevant for the theory of non-compact locally compact quantum groups. It plays similar role as the concept of a quantum matrix group in the compact case. To show the usefulness of this notion we present an approach to a construction of quantum ‘az + b’ group based on this idea. A brief survey of the present status of quantum group theory i...

متن کامل

Constructive control of quantum systems using factorization of unitary operators

We demonstrate how structured decompositions of unitary operators can be employed to derive control schemes for finite-level quantum systems that require only sequences of simple control pulses such as square wave pulses with finite rise and decay times or Gaussian wavepackets. To illustrate the technique, it is applied to find control schemes to achieve population transfers for pure-state syst...

متن کامل

Quantum entanglement of unitary operators on bi-partite systems

Quantum entanglement plays a key role in quantum information theory. In recent years, there has been a lot of efforts to characterize the entanglement of quantum states both qualitatively and quantitatively. Entangled states can be generated from disentangled states by the action of a non-local Hamitonians. That means these Hamiltonians have the ability to entangle quantum states. It is therefo...

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

ژورنال

عنوان ژورنال: Physical Review A

سال: 2000

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.61.032312