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We discuss the quantum search algorithm using complex queries that has recently been published by Grover (quant-ph/9706005). We recall the algorithm adding some details showing which complex query has to be evaluated. Based on this version…

Quantum Physics · Physics 2007-05-23 Markus Grassl , Thomas Beth

The striking nonlinear effects exhibited by cavity QED systems make them a powerful tool in modern condensed matter and atomic physics. A recently discovered example is the quantized pumping of energy into a cavity by a strongly-coupled,…

Quantum Physics · Physics 2022-05-05 David M. Long , Philip J. D. Crowley , Alicia J. Kollár , Anushya Chandran

Building quantum devices using fixed operators is a must to simplify the hardware construction. Quantum search engine is not an exception. In this paper, a fixed phase quantum search algorithm that searches for M matches in an unstructured…

Quantum Physics · Physics 2007-10-15 Ahmed Younes

It has previously been established that adiabatic quantum computation, operating based on a continuous Zeno effect due to dynamical phases between eigenstates, is able to realise an optimal Grover-like quantum speedup. In other words, is…

Quantum Physics · Physics 2024-11-20 Jesse Berwald , Nick Chancellor , Raouf Dridi

Extending a previous result on the generation of two-photon generalized binomial field states, here we propose an efficient scheme to generate with high-fidelity, in a single-mode high-Q cavity, N-photon generalized binomial states with a…

Quantum Physics · Physics 2014-11-18 Rosario Lo Franco , Giuseppe Compagno , Antonino Messina , Anna Napoli

We study an atom-cavity system in which the cavity has several degenerate transverse modes. Mode-resolved cavity transmission spectroscopy reveals well-resolved atom-cavity resonances for several cavity modes, a signature of collective…

Cavity-based large scale quantum information processing (QIP) may involve multiple cavities and require performing various quantum logic operations on qubits distributed in different cavities. Geometric-phase-based quantum computing has…

Quantum Physics · Physics 2016-03-15 Tong Liu , Xiao-Zhi Cao , Qi-Ping Su , Shao-Jie Xiong , Chui-Ping Yang

We demonstrate that the search space of the quadratic assignment problem (QAP), known as an NP-hard combinatorial optimization problem, can be reduced using Grover adaptive search (GAS) with permutation preparation operator (PPO). To that…

Qubits, which are quantum counterparts of classical bits, are used as basic information units for quantum information processing, whereas underlying physical information carriers, e.g. (artificial) atoms or ions, admit encoding of more…

Quantum Physics · Physics 2023-02-28 Anastasiia S. Nikolaeva , Evgeniy O. Kiktenko , Aleksey K. Fedorov

In this paper, we aim to broaden the spectrum of possible applications of quantum computers and use their capabilities to investigate effects in cavity quantum electrodynamics ("cavity QED"). Interesting application examples are material…

Quantum Physics · Physics 2024-03-18 Maria Tudorovskaya , David Muñoz Ramo

We extend the controlled displacement interaction between a qubit and a harmonic oscillator to the multi-qubit (qudit) case. We define discrete quadratures of the qudit and show how the qudit state can be displaced in these quadratures…

Quantum Physics · Physics 2025-06-09 Anders J. E. Bjerrum , Ulrik L. Andersen , Peter Rabl

We propose a general framework to effectively `open' a high-Q resonator, that is, to release the quantum state initially prepared in it in the form of a traveling electromagnetic wave. This is achieved by employing a mediating mode that…

Quantum Physics · Physics 2014-04-08 Tommaso Tufarelli , Alessandro Ferraro , Alessio Serafini , Sougato Bose , M. S. Kim

We investigate the fidelity of Grover's search algorithm by implementing it on an open quantum system. In particular, we study with what accuracy one can estimate that the algorithm would deliver the searched state. In reality, every system…

Quantum Physics · Physics 2023-03-06 Nilanjana Chanda , Rangeet Bhattacharyya

Grover's algorithm is a cornerstone of quantum search algorithm, offering quadratic speedup for unstructured problems. However, limited qubit counts and noise in today's noisy intermediate-scale quantum (NISQ) devices hinder large-scale…

Quantum Physics · Physics 2026-01-08 Mei Ian Sam , Tzu-Ling Kuo , Tai-Yue Li

We propose an approach to realize an $n$-qubit controlled-$U$ gate with superconducting quantum interference devices (SQUIDs) in cavity QED. In this approach, the two lowest levels of a SQUID represent the two logical states of a qubit…

Quantum Physics · Physics 2009-11-11 Chui-Ping Yang , Siyuan Han

Grover's algorithm is a fundamental quantum algorithm that achieves a quadratic speedup for unstructured search problems of size $N$. Recent studies have reformulated this task as a maximization problem on the unitary manifold and solved it…

Quantum Physics · Physics 2026-04-06 Zhijian Lai , Dong An , Jiang Hu , Zaiwen Wen

We describe a scheme for probing a gas of ultracold atoms trapped in an optical lattice and moving in the presence of an external potential. The probe is non-destructive and uses the existing lattice fields as the measurement device. Two…

Quantum Gases · Physics 2015-05-13 B. M. Peden , D. Meiser , M. L. Chiofalo , M. J. Holland

Using topology optimization, we inverse-design nanophotonic cavities enabling the preparation of pure states of pairs and triples of quantum emitters. Our devices involve moderate values of the dielectric constant, operate under continuous…

We propose a single-step implementation of a muti-target-qubit controlled phase gate with one cat-state qubit (\textit{cqubit}) simultaneously controlling $n-1$ target \textit{cqubits}. The two logic states of a \textit{cqubit} are…

Quantum Physics · Physics 2019-10-24 You-Ji Fan , Zhen-Fei Zheng , Yu Zhang , Dao-Ming Lu , Chui-Ping Yang

Quantum algorithm design plays a crucial role in exploiting the computational advantage of quantum devices. Here we develop a deep-reinforcement-learning based approach for quantum adiabatic algorithm design. Our approach is generically…

Quantum Physics · Physics 2020-05-20 Jian Lin , Zhong Yuan Lai , Xiaopeng Li
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