Diversities in quantum computation and quantum information / editors, Mikio Nakahara, Yidun Wan, Yoshitaka Sasaki.

Format:

Book

Contributor:

Nakahara, Mikio.

Wan, Yidun.

Sasaki, Yoshitaka.

Series:

Kinki University series on quantum computing ; v. 5.

Kinki University series on quantum computing, 1793-7299 ; v. 5

Language:

English

Subjects (All):

Quantum computers.

Physical Description:

1 online resource (228 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, N.J. : World Scientific, 2013.

Language Note:

English

Summary:

This book is a collection of lecture notes and contributions in "Summer School on Diversities in Quantum Computation/Information" held on 1-5 August, 2010 at U-Community Hotel, Higashi-Osaka, Japan. Lecturers are world class authorities in respective areas in quantum information and quantum computing including physics, mathematics, chemistry and information science. They lectured on cutting-edge research frontiers where they are currently working, including quantum error correction, relativistic quantum information, quantum computing of link polynomials, quantum algorithms, etc. Each lecture n

Contents:

Preface; Programme; List of Participants; CONTENTS; Matrix Techniques in Quantum Information Science C.-K. Li; 1. Quantum Operations, Completely Positive Linear Maps; 1.1. Open quantum systems; 1.2. Completely positive linear maps; 1.3. Interpolating problems; 1.4. Completely positive maps on a single matrix; 2. Quantum Error Correction, Higher Rank Numerical Ranges; 2.1. Algebraic approach to quantum error correction; 2.2. Operator approach to quantum error correction; 2.3. Higher rank numerical ranges and basic properties; 2.4. Results on the joint higher rank numerical range

AcknowledgmentReferences; Untying Knots by NMR: Experimental Implementation of an Exponentially Fast Quantum Algorithm for Approximating the Jones Polynomial R. Marx; 1. Mathematical Description of NMR Spectroscopy; 1.1. From the wave function to the product operator formalism; 1.2. Product operator formalism; 1.2.1. Description of spin states; 1.2.2. Description of dynamics; 1.2.3. Description of measurements; 1.3. Density operator formalism; 1.3.1. Description of spin states; 1.3.2. Description of dynamics; 1.3.3. Description of measurements; 1.4. For further reading

2. NMR Quantum Computing Using Pseudopure States2.1. DiVincenzo criteria; 2.1.1. Qubits of an NMR-QC (ensemble of ) spin-1/2-nuclei; 2.1.2. Initialization of an NMR-QC pseudopure state; 2.1.3. Quantum gates: realization in an NMR-QC sequence of r.f. pulses; 2.1.4. Measurement of an NMR-QC expectation value; 2.1.5. Coherence time of an NMR-QC T2 (or longer?); 2.2. Deutsch-Jozsa quantum algorithm on a 2-qubit NMR-QC (PPS); 2.2.1. Alice: initialization; 2.2.2. Bob: function evaluation (1-bit functions); 2.2.3. Alice: measurement

2.3. Chemical Engineering of a 5-qubit NMR quantum computer2.3.1. Design of a suitable compound ("molecule"); 2.3.2. Synthesis of the chosen compound; 2.3.3. Coupling topology of the chosen molecule; 2.4. Deutsch-Jozsa quantum algorithm on a 5-qubit NMR-QC (PPS); 2.4.1. Alice: initialization; 2.4.2. Bob: function evaluation (4-bit functions); 2.4.3. Alice: measurement; 2.5. For further reading; 3. NMR Quantum Computing Using The Thermal State; 3.1. Basic principles of thermal state NMR quantum computing; 3.1.1. Step 1: go from a unitary to the controlled unitary

3.1.2. Step 2: apply cU on excited thermal state of control spin3.1.3. Step 3: measure I1x and I1y; 3.2. Pseudopure state vs. thermal state (pros and cons); 3.3. Deutsch-Jozsa quantum algorithm on a 2-qubit thermal state NMR-QC; 3.3.1. Alice: initialization; 3.3.2. Bob: function evaluation (1-bit functions); 3.3.3. Alice: measurement; 3.4. Deutsch-Jozsa quantum algorithm on a 4-qubit thermal state NMR-QC; 3.4.1. Alice: initialization; 3.4.2. Bob: function evaluation (3-bit functions); 3.4.3. Alice: measurement; 3.5. For further reading; 4. "Untying Knots by NMR"; 4.1. Knot theory

4.1.1. Definition of knots and links

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

981-4425-98-2

1-299-13324-X

OCLC:

828670687