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arXiv quant-ph/0011017quant-ph
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评“量子寄存器纯态的分解”

Comment on `Decomposition of pure states of a quantum register'

Alexander Yu. Vlasov

摘要:

I. Raptis和R. quant-ph/0010104中的Zapatrin显示了将$l$ -量子位量子寄存器的一般状态表示为至多$2^l-l$产物状态的总和的可能性。本文对任意维数$n$的Hilbert空间的张量积分解提出了一种更简单的构造方法,并有推广的可能性(文中所用的单纯复形不直接应用)。在这种情况下,它是具有$n^l-(n^2-n)l/2$产物状态的分解。

英文摘要:

I. Raptis and R. Zapatrin in the quant-ph/0010104 show possibility to express general state of $l$-qubits quantum register as sum at most $2^l-l$ product states. In the comment is suggested more simple construction with possibility of generalization for decomposition of tensor product of Hilbert spaces with arbitrary dimension $n$ (here simplicial complexes used in the article mentioned above would not be applied directly). In this case it is decomposition with $n^l-(n^2-n)l/2$ product states.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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