dorsal/arxiv
View SchemaComment on `Decomposition of pure states of a quantum register'
| Authors | Alexander Yu. Vlasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011017 |
| URL | https://arxiv.org/abs/quant-ph/0011017 |
Abstract
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.
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"date_created": "2026-03-02T18:01:42.198000Z",
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"abstract": "I. Raptis and R. Zapatrin in the quant-ph/0010104 show possibility to express\ngeneral state of $l$-qubits quantum register as sum at most $2^l-l$ product\nstates. In the comment is suggested more simple construction with possibility\nof generalization for decomposition of tensor product of Hilbert spaces with\narbitrary dimension $n$ (here simplicial complexes used in the article\nmentioned above would not be applied directly). In this case it is\ndecomposition with $n^l-(n^2-n)l/2$ product states.",
"arxiv_id": "quant-ph/0011017",
"authors": [
"Alexander Yu. Vlasov"
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"categories": [
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"title": "Comment on `Decomposition of pure states of a quantum register\u0027",
"url": "https://arxiv.org/abs/quant-ph/0011017"
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