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- Quantum_t-design abstract "A Quantum t-design is a probability distribution over pure quantum states which can duplicate properties of the probability distribution over the Haar measure for polynomials of degree t or less. Specifically, the average of any polynomial function of degree t over the design is exactly the same as the average over Haar measure. Here the Haar measure is a uniform probability distribution over all quantum states. These designs are usually unique, and thus almost always calculable. Two particularly important types of t-designs in quantum mechanics are spherical and unitary t-designs.Spherical t-designs are designs where points of the design (i.e. the points being used for the averaging process) are points on a unit sphere. Spherical t-designs and variations thereof have been considered lately and found useful in quantum information theory, quantum cryptography and other related fields.Unitary designs are analogous to spherical designs in that they approximate the entire unitary group via a finite collection of unitary matrices. Unitary designs have been found useful in information theory and quantum computing. Unitary designs are especially useful in quantum computing since most operations are represented by unitary operators.".
- Quantum_t-design wikiPageID "20210883".
- Quantum_t-design wikiPageLength "9831".
- Quantum_t-design wikiPageOutDegree "20".
- Quantum_t-design wikiPageRevisionID "601823356".
- Quantum_t-design wikiPageWikiLink Bloch_sphere.
- Quantum_t-design wikiPageWikiLink Category:Information_theory.
- Quantum_t-design wikiPageWikiLink Category:Quantum_information_science.
- Quantum_t-design wikiPageWikiLink Category:Quantum_information_theory.
- Quantum_t-design wikiPageWikiLink Category:Quantum_mechanics.
- Quantum_t-design wikiPageWikiLink Gaussian_quadrature.
- Quantum_t-design wikiPageWikiLink Group_(mathematics).
- Quantum_t-design wikiPageWikiLink Haar_measure.
- Quantum_t-design wikiPageWikiLink POVM.
- Quantum_t-design wikiPageWikiLink Quantum_computing.
- Quantum_t-design wikiPageWikiLink Quantum_cryptography.
- Quantum_t-design wikiPageWikiLink Quantum_information.
- Quantum_t-design wikiPageWikiLink Quantum_information_theory.
- Quantum_t-design wikiPageWikiLink Quantum_state.
- Quantum_t-design wikiPageWikiLink Quantum_states.
- Quantum_t-design wikiPageWikiLink SIC-POVM.
- Quantum_t-design wikiPageWikiLink Special_unitary_group.
- Quantum_t-design wikiPageWikiLink Unit_sphere.
- Quantum_t-design wikiPageWikiLink Unitary_group.
- Quantum_t-design wikiPageWikiLink Unitary_matrices.
- Quantum_t-design wikiPageWikiLink Unitary_matrix.
- Quantum_t-design wikiPageWikiLinkText "Quantum t-design".
- Quantum_t-design hasPhotoCollection Quantum_t-design.
- Quantum_t-design wikiPageUsesTemplate Template:Reflist.
- Quantum_t-design subject Category:Information_theory.
- Quantum_t-design subject Category:Quantum_information_science.
- Quantum_t-design subject Category:Quantum_information_theory.
- Quantum_t-design subject Category:Quantum_mechanics.
- Quantum_t-design hypernym Distribution.
- Quantum_t-design type Article.
- Quantum_t-design type Software.
- Quantum_t-design type Article.
- Quantum_t-design type Mechanic.
- Quantum_t-design type Physic.
- Quantum_t-design comment "A Quantum t-design is a probability distribution over pure quantum states which can duplicate properties of the probability distribution over the Haar measure for polynomials of degree t or less. Specifically, the average of any polynomial function of degree t over the design is exactly the same as the average over Haar measure. Here the Haar measure is a uniform probability distribution over all quantum states. These designs are usually unique, and thus almost always calculable.".
- Quantum_t-design label "Quantum t-design".
- Quantum_t-design sameAs m.04y8h9v.
- Quantum_t-design sameAs Q7269105.
- Quantum_t-design sameAs Q7269105.
- Quantum_t-design wasDerivedFrom Quantum_t-design?oldid=601823356.
- Quantum_t-design isPrimaryTopicOf Quantum_t-design.