dorsal/arxiv
View SchemaCharacterization of pure quantum states of multiple qubits using the Groverian entanglement measure
| Authors | Yishai Shimoni, Daniel Shapira, Ofer Biham |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309062 |
| URL | https://arxiv.org/abs/quant-ph/0309062 |
| DOI | 10.1103/PhysRevA.69.062303 |
| Journal | Phys. Rev. A 69, 062303 (2004) |
Abstract
The Groverian entanglement measure, G(psi), is applied to characterize a variety of pure quantum states |psi> of multiple qubits. The Groverian measure is calculated analytically for certain states of high symmetry, while for arbitrary states it is evaluated using a numerical procedure. In particular, it is calculated for the class of Greenberger-Horne-Zeilinger states, the W states as well as for random pure states of n qubits. The entanglement generated by Grover's algorithm is evaluated by calculating G(psi) for the intermediate states that are obtained after t Grover iterations, for various initial states and for different sets of the marked states.
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"abstract": "The Groverian entanglement measure, G(psi), is applied to characterize a\nvariety of pure quantum states |psi\u003e of multiple qubits. The Groverian measure\nis calculated analytically for certain states of high symmetry, while for\narbitrary states it is evaluated using a numerical procedure. In particular, it\nis calculated for the class of Greenberger-Horne-Zeilinger states, the W states\nas well as for random pure states of n qubits. The entanglement generated by\nGrover\u0027s algorithm is evaluated by calculating G(psi) for the intermediate\nstates that are obtained after t Grover iterations, for various initial states\nand for different sets of the marked states.",
"arxiv_id": "quant-ph/0309062",
"authors": [
"Yishai Shimoni",
"Daniel Shapira",
"Ofer Biham"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.062303",
"journal_ref": "Phys. Rev. A 69, 062303 (2004)",
"title": "Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure",
"url": "https://arxiv.org/abs/quant-ph/0309062"
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