Results 11 to 20 of about 38 (37)

Bounds on the realizations of zero-nonzero patterns and sign conditions of polynomials restricted to varieties and applications

Forum of Mathematics, Sigma
We obtain upper bounds, independent of the ambient dimension, for the number of realizable zero-nonzero patterns and (over ordered fields) sign conditions of a finite family of polynomials P $\mathcal P$ script upper P restricted to an algebraic ...
Saugata Basu, Laxmi Parida
doaj   +1 more source

The dihedral hidden subgroup problem

Journal of Mathematical Cryptology
The hidden subgroup problem (HSP) is a cornerstone problem in quantum computing, which captures many problems of interest and provides a standard framework algorithm for their study based on Fourier sampling, one class of techniques known to provide ...
Chen Imin, Sun David
doaj   +1 more source

Unconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms

Forum of Mathematics, Pi
In 1994, Shor introduced his famous quantum algorithm to factor integers and compute discrete logarithms in polynomial time. In 2023, Regev proposed a multidimensional version of Shor’s algorithm that requires far fewer quantum gates.
Cédric Pilatte
doaj   +1 more source

Parameterized quantum circuit for binary and multi classification

Array
Machine learning models achieve strong predictive performance by uncovering hidden patterns and structures within data. Quantum Machine Learning (QML) extends this capability by leveraging principles of quantum mechanics to address complex classification
S. Megala, P. Ragukumar, Neelu Khare
doaj   +1 more source

Pöschl-Teller potentials based solution to Hilbert's tenth problem

Ingeniería y Ciencia, 2006
Los hipercomputadores computan funciones o números, o en general solucionan problemas que no pueden ser computados o solucionados por una máquina de Turing. Se presenta una adaptación del algoritmo cuántico hipercomputacional propuesto por Tien D.
Andrés Sicard, Juan Ospina
doaj  

Certified Quantum Computation in Isabelle/HOL. [PDF]

J Autom Reason, 2021
Bordg A, Lachnitt H, He Y.
europepmc   +1 more source

How to build a device that cannot be built. [PDF]

Quantum Inf Process, 2016
Lomonaco SJ.
europepmc   +1 more source

Single-Query Exact Discrimination of Phase-Modified Permutation Oracles

Owen Root
core   +1 more source

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An Introduction to Quantum Computing, Without the Physics

SIAM Review, 2020
Giacomo Nannicini
exaly  

Shadow Tomography of Quantum States

SIAM Journal on Computing, 2020
Scott Aaronson
exaly