Construction of Two-Ququart Quantum Entanglement by Using Magnetic Resonance Selective Pulse Sequences

Karakas M. D., Gençten A.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, vol.73, no.10, pp.911-918, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 10
  • Publication Date: 2018
  • Doi Number: 10.1515/zna-2017-0441
  • Journal Name: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.911-918
  • Keywords: Magnetic Resonance Selective Pulses, Quantum Entanglement, Qudit, Ququart, LOGICAL OPERATIONS, CIRCUITS, COMPUTATION, TELEPORTATION, QUDITS, HYBRID, STATE, GATES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

A d-dimensional unit of information in quantum computing is called a qudit. For d = 4 there exist four magnetic quantum numbers of spin-3/2. These four levels can be called ququarts. Then, for the SI (S = 3/2, I = 3/2) spin system, 16 two-ququart states are obtained. In this study, first, two-ququart entangled states are constructed by using matrix representation of Hadamard and CNOT logic gates. Two-ququart entangled states are also constructed by using magnetic resonance selective pulse sequences of Hadamard and CNOT logic gates. Then, a generalised expression is obtained for the transformation of two-qudit entangled states between each other. This expression is applied for two-ququart entangled states.