{"product_id":"exploring-symmetric-cones-with-quantum-9785396844575","title":"Exploring symmetric cones with quantum","description":"\u003cp\u003eQuantum algorithms for optimization often achieve speedups in the problem dimension. Yet, their error dependence and sensitivity to scale makes it challenging to identify broad classes of optimization problems for which thei r is a clear advantage over classical algorithms. This \u003c\/p\u003e\u003cp\u003edissertation is comprisedof multiple projects spanning three parts that seek to reducethis gap. Part I concerns quantum linear algebra. We provide a construction for implementing matrix arithmetic operations, such as Kronecker and Hadamard products, on a quantum computer. Then, \u003c\/p\u003e\u003cp\u003ewe demonstrate how Iterat ive Refinement can be leveraged to exponentialy improve the dependence on precision in the overall running time associated with classicaly solving linear systems of equations using quantum computers.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Anjum Publishers\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/03\/2023\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9785396844575\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 198\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.60lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.42d","brand":"Kathleen M. Jimenez","offers":[{"title":"Default Title","offer_id":52679526219957,"sku":"9785396844575","price":25.5,"currency_code":"USD","in_stock":true}],"url":"https:\/\/pastforward.org\/products\/exploring-symmetric-cones-with-quantum-9785396844575","provider":"Past Forward","version":"1.0","type":"link"}