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In 1985, David Deutsch challenged the Church-Turing thesis by stating that his quantum model of computation "could, in principle, be built and would have many remarkable properties not reproducible by any Turing machine". While this is…

量子物理 · 物理学 2015-09-11 Niklas Johansson , Jan-Åke Larsson

Quantum computing implementations under consideration today typically deal with systems with microscopic degrees of freedom such as photons, ions, cold atoms, and superconducting circuits. The quantum information is stored typically in…

量子物理 · 物理学 2016-05-04 Henry Semenenko , Tim Byrnes

The Deutsch-Jozsa algorithm is experimentally demonstrated for three-qubit functions using pure coherent superpositions of Li$_{2}$ rovibrational eigenstates. The function's character, either constant or balanced, is evaluated by first…

量子物理 · 物理学 2009-11-07 Jiri Vala , Zohar Amitay , Bo Zhang , Stephen R. Leone , Ronnie Kosloff

We present an idealized quantum continuous variable analog of the Deutsch-Jozsa algorithm which can be implemented on a perfect continuous variable quantum computer. Using the Fourier transformation and XOR gate appropriate for continuous…

量子物理 · 物理学 2007-05-23 Arun K. Pati , Samuel L. Braunstein

A bare description of the seminal quantum algorithm devised by Deutsch could mean more than an introduction to quantum computing. It could contribute to opening the field to interdisciplinary research.

量子物理 · 物理学 2017-10-13 Giuseppe Castagnoli

It is presently shown that the Deutsch-Jozsa algorithm is connected to the concept of bent function. Particularly, it is noticeable that the quantum circuit used to denote the well known quantum algorithm is by itself the quantum computer…

信息论 · 计算机科学 2019-12-04 Eraldo Pereira Marinho

We propose an optical implementation of the Deutsch-Jozsa Algorithm using classical light in a binary decision-tree scheme. Our approach uses a ring cavity and linear optical devices in order to efficiently quarry the oracle functional…

A hybrid model of the Deutsch-Jozsa algorithm is presented, inspired by the proposals of hybrid computation by S. Lloyd and P. van Loock et. al. The model is based on two observations made about both the discrete and continuous algorithms…

量子物理 · 物理学 2010-01-05 Luis A. Garcia , Jagdish R. Luthra

We show that one can implement the Deutsch-Josza algorithm, one of the first and simplest quantum algorithms, in a fault-tolerant manner using the smallest quantum error-detecting code -- the $[[4,2,2]]$ code -- without any ancillae. We…

量子物理 · 物理学 2025-09-11 Divyanshu Singh , Shiroman Prakash

The present work points out that the Deutsch-Jozsa algorithm was the first formal description of a quantum decider. In particular, it is studied here the class of languages whose indicator functions allow the Deutsch-Jozsa algorithm to…

量子物理 · 物理学 2022-03-21 Eraldo Pereira Marinho

We use a categorical topological semantics to examine the Deutsch-Jozsa, hidden subgroup and single-shot Grover algorithms. This reveals important structures hidden by conventional algebraic presentations, and allows novel proofs of…

量子物理 · 物理学 2013-10-11 Jamie Vicary

We perform quantum interference experiments on a single self-assembled semiconductor quantum dot. The presence or absence of a single exciton in the dot provides a qubit that we control with femtosecond time resolution. We combine a set of…

介观与纳米尺度物理 · 物理学 2007-05-23 P. Bianucci , A. Muller , C. K. Shih , Q. Q. Wang , X. K. Xue , C. Piermarocchi

In these notes we present preliminary results on quantum-like algorithms where tensor product is replaced by geometric product. Such algorithms possess the essential properties typical of quantum computation (entanglement, parallelism) but…

量子物理 · 物理学 2007-05-23 Diederik Aerts , Marek Czachor

In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical algorithms in quantum computing, such as the Deutsch--Jozsa algorithm, Simon's algorithm or Grover's algorithm. We will…

量子物理 · 物理学 2022-07-07 Joaquín Ossorio-Castillo , Ulises Pastor-Díaz , José M. Tornero

We discuss the ensemble version of the Deutsch-Jozsa (DJ) algorithm which attempts to provide a "scalable" implementation on an expectation-value NMR quantum computer. We show that this ensemble implementation of the DJ algorithm is at best…

量子物理 · 物理学 2016-09-08 Arvind , David Collins

We describe the experimental implementation of a recently proposed quantum algorithm involving quantum entanglement at the level of two qubits using NMR. The algorithm solves a generalisation of the Deutsch problem and distinguishes between…

量子物理 · 物理学 2009-11-06 Kavita Dorai , Arvind , Anil Kumar

A detailed description of the development of a three qubit NMR realization of the Deutsch-Jozsa algorithm [Collins et.al., Phys. Rev. A 62, 022304 (2000)] is provided. The theoretical and experimental techniques used for the reduction of…

量子物理 · 物理学 2007-05-23 David Collins , K. W. Kim , W. C. Holton , H. Sierzputowska-Gracz , E. O. Stejskal

This paper generalizes both the binary Deutsch-Jozsa and Grover algorithms to $n$-valued logic using the quantum Fourier transform. Our extended Deutsch-Jozsa algorithm is not only able to distinguish between constant and balanced Boolean…

量子物理 · 物理学 2025-02-18 Yale Fan

An NMR realization of a two-qubit quantum gate which processes quantum information indirectly via couplings to a spectator qubit is presented in the context of the Deutsch-Jozsa algorithm. This enables a successful comprehensive NMR…

量子物理 · 物理学 2009-10-31 David Collins , K. W. Kim , W. C. Holton , H. Sierzputowska-Gracz , E. O. Stejskal

For a practical quantum computer to operate, it will be essential to properly manage decoherence. One important technique for doing this is the use of "decoherence-free subspaces" (DFSs), which have recently been demonstrated. Here we…

量子物理 · 物理学 2009-11-07 Masoud Mohseni , Jeffrey S. Lundeen , Kevin J. Resch , Aephraim M. Steinberg