The quantum algorithm for factoring
Web-app realization of Shor’s quantum factoring algorithm and Grover’s quantum search algorithm
... state-of-the-art quantum computing technologies allow the realization of quantum algorithm is ...Shor’s quantum factoring algorithm and Grover’s quantum search ...
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Implementation of a post-quantum algorithm
... the quantum computers and if we give an equivalent in terms of bits, a n quibs quantum computer can store as much as 2 n bits of ...like factoring large numbers or finding the dis- crete logarithm of ...
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Analysis of Deutsch-Jozsa Quantum Algorithm
... Deutsch-Jozsa Quantum Algorithm Zhengjun Cao 1 , Jeffrey Uhlmann 2 , Lihua Liu 3,∗ ...Deutsch-Jozsa quantum algorithm is of great importance to quantum ...factoring ...
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Factoring by Quantum Computers
... by Quantum Computers Ragesh Jaiswal University of California, San Diego A Quantum computer is a device that uses quantum phenomenon to perform a ...a quantum system utilizes the superposition ...
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On Shor's Factoring Algorithm with More Registers and the Problem to Certify Quantum Computers
... Shor’s factoring algorithm with more registers, we show that the measured numbers in many quantum registers with the same pre-measurement state should be equal if the original argument is ...Shor’s ...
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... Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
... . Factoring large integers is therefore conjectured to be intractable classically, an observation underlying the security of widely used crypto- graphic codes 1,2 .... Quantum computers 3 , however, could ...
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Factoring Algorithms Based on NMR Quantum
... the $\mathrm{N}\mathrm{P}$ -complete problem. Remark 3The measurement accuracy $k$ is determined by physical devices. For example, $k$ depends on the number of molecules used in NMR quantum computers. We propose ...
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Quantum Computing Lecture 7. Quantum Factoring. Anuj Dawar
... Note, classically, we can use the fast Fourier transform algorithm for this purpose, but it can be shown that this would require time N log N, which is exponential in the number of bits [r] ...
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The Quadratic Sieve Factoring Algorithm
... of factoring inte- gers. We have mentioned the successful factoring of a 129 digit RSA ...in factoring techniques and for processor speed ...an algorithm to factor integers in nearly ...
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A 2D NEAREST-NEIGHBOR QUANTUM ARCHITECTURE FOR FACTORING IN POLYLOGARITHMIC DEPTH
... Received October 11, 2012 Revised March 29, 2013 We present a 2D nearest-neighbor quantum architecture for Shor’s algorithm to factor an n-bit number in O(log 3 n) depth. Our implementation uses parallel ...
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An algorithm for factoring integers
... and the references therein. The best known method on integer factorization problem is the general number field sieve [5] and its running time is sub-exponential. Since the invention of the general number field sieve in ...
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Optimal Algorithm for Algebraic Factoring
... [email protected] Abstract This paper presents an optimized method for factoring multivariate poly- nomials over algebraic extensions fields which defined by an irreducible ascend- ing set. The basic idea is to ...
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A one line factoring algorithm
... Fermat’s factoring algorithm which is competitive with SQUFOF in practice but has heuristic run time complexity O(n 1/3 ) as a general factoring ...the algorithm is particularly ...the ...
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A Quantum-Quantum Metropolis Algorithm
... PACS numbers: 03.67.Ac, 05.10.Ln, 02.50.Ga Interacting many-body problems, classical or quan- tum mechanical, generally require an exponentially large amount of computing resources to find the (exact) so- lutions, as the ...
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Quantum Advantages Quantum Algorithm for Finding the Minimum
... about quantum computers and how they would work have been around for a few ...a quantum computer was ...their quantum computers are equivalent to the room sized computers that we see in some old ...
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Studies Of A Quantum Scheduling Algorithm And On Quantum Error Correction
... of quantum computer over classic computer. Quantum information theory, like classical information theory, deals with information which can be transmitted by using quantum systems as ...a ...
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Quantum inverse iteration algorithm for programmable quantum simulators
... applying generally nonunitary operator ^ H to the initial state jψ 0 i, we shall either introduce an ancillary register to perform it, or properly account for the normalization of the resulting wavefunc- tion. The ...
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Simulation of Quantum Search Algorithm
... Entanglement Quantum entanglement, also called the quantum non-local connection, is a property of a quantum mechanical state of a system of two or more objects in which the quantum states of ...
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Optimization with Quantum Genetic Algorithm
... By introducing qubit chromosome representation and the best par- tial immigration technique this paper proposes an improved version of QGA based on the concepts and principles of quantum comput- ing. Because qubit ...
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Complexity of the Quantum Adiabatic Algorithm
... for the Max-Cut (random antiferromagnet) problem, results point to a polynomially decreasing gap near the quantum phase transition. it seems however that the overall gap behavior is exponential. QAA seems to be ...
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