Title
Efficient quantum algorithms to construct arbitrary Dicke states
Abstract
In this paper, we study several quantum algorithms toward the efficient construction of arbitrary arbitrary Dicke state. The proposed algorithms use proper symmetric Boolean functions that involve manipulation with Krawtchouk polynomials. Deutsch---Jozsa algorithm, Grover algorithm, and the parity measurement technique are stitched together to devise the complete algorithm. In addition to that we explore how the biased Hadamard transformation can be utilized into our strategy, motivated by the work of Childs et al. (Quantum Inf Comput 2(3):181---191, 2002).
Year
DOI
Venue
2012
10.1007/s11128-014-0797-8
Quantum Information Processing
Keywords
Field
DocType
Biased Hadamard transform,Deutsch–Jozsa algorithm,Dicke state,Grover algorithm,Krawtchouk polynomial,Parity measurement,Symmetric boolean functions
Boolean function,Quantum,Deutsch–Jozsa algorithm,Quantum mechanics,Quantum algorithm,Grover's algorithm,Hadamard transform,Kravchuk polynomials,Physics
Journal
Volume
Issue
ISSN
13
9
1570-0755
Citations 
PageRank 
References 
1
0.48
4
Authors
4
Name
Order
Citations
PageRank
Kaushik Chakraborty1485.67
Byung-Soo Choi2467.09
Arpita Maitra344.11
Subhamoy Maitra41753140.09