Kaushik Chakraborty, Byung-Soo Choi, Arpita Maitra, Subhamoy Maitra
Efficient construction of arbitrary Dicke state remains elusive for quite some time and we solve this problem in this letter. Our contribution is to use proper symmetric Boolean functions that involve manipulations with Krawtchouk polynomials. Deutsch-Jozsa algorithm, Grover algorithm and the parity measurement technique are stitched together to devise the complete proposal that can construct any Dicke state efficiently.
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http://arxiv.org/abs/1209.5932
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