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Peter Shor
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quantum computation, in particular for devising Shor's algorithm, a quantum algorithm for factoring exponentially faster than the best currently-known algorithmBLISS signature scheme (461 words) [view diff] exact match in snippet view article find links to article
attacked by a quantum computer. BLISS on the other hand, is a post-quantum algorithm, and is meant to resist quantum computer attacks. Compared to otherQuantum finance (1,544 words) [view diff] no match in snippet view article find links to article
Quantum finance is an interdisciplinary research field, applying theories and methods developed by quantum physicists and economists in order to solveAram Harrow (361 words) [view diff] exact match in snippet view article find links to article
computing. Together with Avinatan Hassidim and Seth Lloyd, he designed a quantum algorithm for linear systems of equations, which in some cases exhibits an exponentialQuantum image (414 words) [view diff] exact match in snippet view article find links to article
discuss a suitable method for encoding image data, and develop a new quantum algorithm that can detect boundaries among parts of an image with a single logicalNaccache–Stern knapsack cryptosystem (565 words) [view diff] exact match in snippet view article find links to article
which is considered difficult for a classical computer. However, the quantum algorithm of Shor efficiently solves this problem. Furthermore, currently (2023)Cytosine (906 words) [view diff] exact match in snippet view article find links to article
1-2.49. Jones, J.A.; M. Mosca (1998-08-01). "Implementation of a quantum algorithm on a nuclear magnetic resonance quantum computer". J. Chem. Phys.15 (number) (1,053 words) [view diff] exact match in snippet view article
partitions of 7. the smallest number that can be factorized using Shor's quantum algorithm. the magic constant of the unique order-3 normal magic square. theEdward Farhi (1,045 words) [view diff] exact match in snippet view article find links to article
introduced the Quantum Approximate Optimization Algorithm (QAOA), a novel quantum algorithm for finding approximate solutions to combinatorial search problemsGreg Kuperberg (614 words) [view diff] exact match in snippet view article find links to article
JSTOR 3597283. S2CID 7965653. Kuperberg, Greg (2005). "A subexponential-time quantum algorithm for the dihedral hidden subgroup problem". SIAM Journal on ComputingOded Regev (computer scientist) (815 words) [view diff] exact match in snippet view article
Algorithm". arXiv:2308.06572 [quant-ph]. 'Surprising and super cool.' Quantum algorithm offers faster way to hack internet encryption (Report). 2023-09-19Stuart Hameroff (1,556 words) [view diff] exact match in snippet view article find links to article
electrical or chemical synapses, or the discovery of an efficient quantum algorithm for computations performed by the brain, would do much to bring theseUmesh Vazirani (547 words) [view diff] exact match in snippet view article find links to article
which was then used by Peter Shor within a year in his celebrated quantum algorithm for factoring integers. With Charles Bennett, Ethan Bernstein, andSystem of linear equations (5,571 words) [view diff] exact match in snippet view article find links to article
algorithm is said to have converged on the solution. There is also a quantum algorithm for linear systems of equations. A system of linear equations is homogeneousDiscrete logarithm (2,043 words) [view diff] exact match in snippet view article find links to article
algorithm (aka Pollard's lambda algorithm) There is an efficient quantum algorithm due to Peter Shor. Efficient classical algorithms also exist in certainComputational topology (1,779 words) [view diff] case mismatch in snippet view article find links to article
Aharonov, Dorit; Jones, Vaughan; Landau, Zeph (2005). "A Polynomial Quantum Algorithm for Approximating the Jones Polynomial". arXiv:quant-ph/0511096. ShenChuck Easttom (1,060 words) [view diff] case mismatch in snippet view article find links to article
the DevOps 2675, a member of IEEE P2995 - Trial-Use Standard for a Quantum Algorithm Design and Development Standards Group, and Vice Chair IEEE P23026Masanori Ohya (358 words) [view diff] case mismatch in snippet view article find links to article
(Entropy), Information Dynamics, Analysis of Quantum Teleportation, Quantum Algorithm, Proposal of Adaptive Dynamics, Applications to the life sciencesCarleman linearization (926 words) [view diff] exact match in snippet view article find links to article
Trivisa, Konstantina; Childs, Andrew M. (2021-08-31). "Efficient quantum algorithm for dissipative nonlinear differential equations". Proceedings ofMicrosoft Azure Quantum (1,246 words) [view diff] exact match in snippet view article find links to article
quantum algorithm development and simulation. The Azure Quantum Resource Estimator estimates resources required to execute a given quantum algorithm onHypercomputation (3,348 words) [view diff] case mismatch in snippet view article find links to article
There have been some claims to this effect; see Tien Kieu (2003). "Quantum Algorithm for the Hilbert's Tenth Problem". Int. J. Theor. Phys. 42 (7): 1461–1478Yao's principle (3,761 words) [view diff] exact match in snippet view article find links to article
remaining inputs. For any Boolean function, the minimum complexity of a quantum algorithm that is correct with probability ≥ 2 3 {\displaystyle \geq {\tfracButterfly effect (5,505 words) [view diff] exact match in snippet view article find links to article
changes in their given Hamiltonians. David Poulin et al. presented a quantum algorithm to measure fidelity decay, which "measures the rate at which identicalAnil Kumar (physicist) (929 words) [view diff] exact match in snippet view article
qubit systems as well as implemented 2 and 3 qubit Deutsch-Jozsa quantum algorithm, using one and two-dimensional NMR spectroscopy. Anil was a fellowInteger factorization records (1,902 words) [view diff] exact match in snippet view article find links to article
259. S2CID 46546101. "143 is largest number yet to be factored by a quantum algorithm". "New largest number factored on a quantum device is 56,153". "TheTime complexity (5,002 words) [view diff] case mismatch in snippet view article find links to article
November 2024 (link) Kuperberg, Greg (2005). "A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem". SIAM Journal on ComputingMicrosoft Azure (6,923 words) [view diff] exact match in snippet view article find links to article
Resource Estimator estimates the resources required to execute a given quantum algorithm on a fault-tolerant quantum computer. It can also show how futureLearning with errors (3,418 words) [view diff] exact match in snippet view article find links to article
\gamma (n)\geq 1} . Regev then shows that there exists an efficient quantum algorithm for D G S 2 n η ε ( L ) / α {\displaystyle DGS_{{\sqrt {2n}}\eta _{\varepsilonComputational chemistry (8,349 words) [view diff] case mismatch in snippet view article find links to article
S2CID 258397837. Abrams, Daniel S.; Lloyd, Seth (1999-12-13). "Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors"Lieb–Robinson bounds (4,663 words) [view diff] exact match in snippet view article find links to article
O(n^{2}t^{2})} quantum gates. In 2018, Haah et al. proposed a near optimal quantum algorithm that uses only O ( n t log ( n t ) ) {\displaystyle O(nt\log(nt))}Orchestrated objective reduction (5,243 words) [view diff] exact match in snippet view article find links to article
electrical or chemical synapses, or the discovery of an efficient quantum algorithm for computations performed by the brain, would do much to bring theseShortest path problem (4,451 words) [view diff] case mismatch in snippet view article find links to article
Addison-Wesley. ISBN 978-0321295354. Dürr, C.; Høyer, P. (1996-07-18). "A Quantum Algorithm for Finding the Minimum". arXiv:quant-ph/9607014. Nayebi, Aran; WilliamsPell's equation (6,638 words) [view diff] exact match in snippet view article find links to article
S2CID 948064. Schmidt, A.; Völlmer, U. (2005), "Polynomial time quantum algorithm for the computation of the unit group of a number field" (PDF), ProceedingsFractional Fourier transform (3,779 words) [view diff] exact match in snippet view article find links to article
discrete fractional Fourier transform is defined by Zeev Zalevsky. A quantum algorithm to implement a version of the discrete fractional Fourier transformJingbo Wang (1,129 words) [view diff] exact match in snippet view article find links to article
Yu, CH; Gao, F; Liu, C; Huynh, D; Reynolds, M; Wang, J (2019). "Quantum algorithm for visual tracking". Physical Review. A 99 (2): 022301. arXiv:1807Libby Heaney (2,168 words) [view diff] exact match in snippet view article find links to article
constructed and maintained. Images of the body are passed through a quantum algorithm, and as the users interact with them they progressively become fragmentedPhase kickback (1,786 words) [view diff] exact match in snippet view article find links to article
to the initial control qubit. Quantum phase estimation (QPE) is a quantum algorithm that exploits phase kickback to efficiently estimate the eigenvaluesClique problem (9,905 words) [view diff] exact match in snippet view article find links to article
number of questions (for a worst case input) that a randomized or quantum algorithm needs to have answered in order to correctly determine whether theApplications of artificial intelligence (19,522 words) [view diff] exact match in snippet view article find links to article
Sokolov, Igor O.; Woerner, Stefan; Tavernelli, Ivano (April 2021). "Quantum algorithm for alchemical optimization in material design". Chemical ScienceDelaram Kahrobaei (1,407 words) [view diff] case mismatch in snippet view article find links to article
Kahrobaei, D.; Perret, L.; Shahandashti, S. F. (2024). "A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem". Post-Quantum CryptographyIdeal lattice (6,061 words) [view diff] exact match in snippet view article find links to article
{O}}(n^{2})} -Ideal-SVP cannot be solved by any subexponential time quantum algorithm. It is noteworthy that this is stronger than standard public key cryptographyInterference freedom (5,613 words) [view diff] exact match in snippet view article find links to article
time. The authors formally verify Bravyi-Gosset-König's parallel quantum algorithm solving a linear algebra problem, giving, they say, for the firstZhenghan Wang (1,717 words) [view diff] case mismatch in snippet view article find links to article
Aharonov, Dorit; Jones, Vaughan; Landau, Zeph (2006-04-10), A Polynomial Quantum Algorithm for Approximating the Jones Polynomial, arXiv:quant-ph/0511096 CuiAlgorithmic cooling (7,131 words) [view diff] exact match in snippet view article find links to article
vivo magnetic resonance spectroscopy. Quantum error correction is a quantum algorithm for protection from errors. The algorithm operates on the relevantQuantum computational chemistry (3,351 words) [view diff] case mismatch in snippet view article find links to article
Complexity (ECCC). Abrams, Daniel S.; Lloyd, Seth (1999-12-13). "Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors"