Quantum Optical Construction of Generalized Pauli and Walsh-Hadamard Matrices in Three Level Systems

Abstract

A set of generators of generalized Pauli matrices play a crucial role in quantum computation based on n level systems of an atom. In this paper we show how to construct them by making use of Rabi oscillations. We also construct the generalized Walsh-Hadamard matrix in the case of three level systems and present some related problems.

Latex File, 47 pages. This is written in a textbook style which may be readable to graduate students

References in corpus (8)

• Security of quantum key distribution using d-level systems
• Quantum Encodings in Spin Systems and Harmonic Oscillators
• Quantum key distribution for d-level systems with generalized Bell states
• Theory of dressed states in quantum optics
• Exchange Gate on the Qudit Space and Fock Space
• Rabi oscillations and macroscopic quantum superposition states
• How To Treat An N-Level System : A Proposal
• N-Level System Interacting with Single Radiation Mode and Multi Cat States of Schrodinger in the Strong Coupling Regime

Cited by in corpus (10)

• Synthesis of multi-qudit Hybrid and d-valued Quantum Logic Circuits by Decomposition
• Cavity QED and Quantum Computation in the Weak Coupling Regime
• Synthesis of Ternary Quantum Logic Circuits by Decomposition
• Cavity QED and Quantum Computation in the Weak Coupling Regime II : Complete Construction of the Controlled-Controlled NOT Gate
• A Modern Introduction to Cardano and Ferrari Formulas in the Algebraic Equations
• Explicit Form of Solution of Two Atoms Tavis-Cummings Model
• Study on Dynamics of N Level System of Atom by Laser Fields
• Comment on "A Recursive Parametrisation of Unitary Matrices"
• A Generalization of the Preceding Paper ``A Rabi Oscillation in Four and Five Level Systems"
• Special bases for the vector space of square matrices