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A Symplectic Effective Field Theory that unveils the observed emergence of symplectic symmetry in atomic nuclei is advanced. Specifically, starting from a simple extension of the harmonic-oscillator Lagrangian, an effective field theory…

核理论 · 物理学 2022-07-20 D. Kekejian , J. P. Draayer , V. I. Mokeev , C. D. Roberts

We generalize effective energy variational techniques to study appropriately quantized solitonic field configurations. Our approach rests on collective quantization ideas and is specifically designed for the numerical evaluation of soliton…

高能物理 - 理论 · 物理学 2008-11-26 Sergei V. Bashinsky

Using the convex structure of positive operator value measurements and of several quantities used in quantum metrology, such as quantum Fisher information or the quantum Van Trees information, we present an efficient numerical method to…

量子物理 · 物理学 2020-08-11 Esteban Martínez-Vargas , Carlos Pineda , Pablo Barberis-Blostein

Complex numbers play a crucial role in quantum mechanics. However, their necessity remains debated: whether they are fundamental or merely convenient. Recently, it was claimed that quantum mechanics based on real numbers can be…

We introduce a systematic study of "symmetric quantum circuits", a new restricted model of quantum computation that preserves the symmetries of the problems it solves. This model is well-adapted for studying the role of symmetry in quantum…

量子物理 · 物理学 2025-10-07 Davi Castro-Silva , Tom Gur , Sergii Strelchuk

Fault tolerant quantum computing methods which work with efficient quantum error correcting codes are discussed. Several new techniques are introduced to restrict accumulation of errors before or during the recovery. Classes of eligible…

量子物理 · 物理学 2009-10-31 Andrew M. Steane

We point out a general framework that encompasses most cases in which quantum effects enable an increase in precision when estimating a parameter (quantum metrology). The typical quantum precision-enhancement is of the order of the square…

量子物理 · 物理学 2009-11-11 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

Quantum error correction is a critical component for scaling up quantum computing. Given a quantum code, an optimal decoder maps the measured code violations to the most likely error that occurred, but its cost scales exponentially with the…

量子物理 · 物理学 2023-04-18 Evgenii Egorov , Roberto Bondesan , Max Welling

The problem of optimally estimating an unknown unitary quantum operation with the aid of entanglement is addressed. The idea is to prepare an entangled pair, apply the unknown unitary to one of the two parts and then measure the joint…

量子物理 · 物理学 2007-05-23 Manuel A. Ballester

Quantum metrology is a general term for methods to precisely estimate the value of an unknown parameter by actively using quantum resources. In particular, some classes of entangled states can be used to significantly suppress the…

量子物理 · 物理学 2015-05-01 Takanori Sugiyama

This paper provides necessary and sufficient conditions for constructing a universal quantum computer over continuous variables. As an example, it is shown how a universal quantum computer for the amplitudes of the electromagnetic field…

量子物理 · 物理学 2009-10-31 Seth Lloyd , Samuel L. Braunstein

Computing the unit group and solving the principal ideal problem for a number field are two of the main tasks in computational algebraic number theory. This paper proposes efficient quantum algorithms for these two problems when the number…

量子物理 · 物理学 2010-09-02 Hong Wang , Zhi Ma

A universal programmable detector is a device that can be tuned to perform any desired measurement on a given quantum system, by changing the state of an ancilla. With a finite dimension d for the ancilla only approximate universal…

量子物理 · 物理学 2007-05-23 Giacomo Mauro D'Ariano , Paolo Perinotti

Quantum cloning machine for arbitrary mixed states in symmetric subspace is proposed. This quantum cloning machine can be used to copy part of the output state of another quantum cloning machine and is useful in quantum computation and…

量子物理 · 物理学 2009-11-10 Heng Fan

Efficient encoding of classical data into quantum state -- currently referred to as quantum encoding -- holds crucial significance in quantum computation. For finite-size databases and qubit registers, a common strategy of the quantum…

量子物理 · 物理学 2025-08-05 Jaehee Kim , Taewan Kim , Kyunghyun Baek , Yongsoo Hwang , Joonsuk Huh , Jeongho Bang

Advancing quantum technologies requires precise and robust coherent control of quantum systems. Robust higher-order Hamiltonian engineering is essential for high-precision control and for accessing effective dynamics absent at zeroth order.…

量子物理 · 物理学 2026-03-13 Jiahui Chen , David Cory

Quantum entanglement, after playing a significant role in the development of the foundations of quantum mechanics, has been recently rediscovered as a new physical resource with potential commercial applications such as, for example,…

量子物理 · 物理学 2009-11-07 Pawel Horodecki , Artur Ekert

Solving atomic nuclei from first principles places enormous demands on computational resources, which grow exponentially with increasing number of particles and the size of the space they occupy. We present first quantum simulations based…

A central problem in quantum computation is to understand which quantum circuits are useful for exponential speed-ups over classical computation. We address this question in the setting of query complexity and show that for almost any…

量子物理 · 物理学 2013-04-18 Fernando G. S. L. Brandao , Michal Horodecki

This paper revisits the universal asymmetric $1 \to 2$ quantum cloning problem. We identify the symmetry properties of this optimisation problem, giving us access to the optimal quantum cloning map. Furthermore, we use the bipolar theorem,…

量子物理 · 物理学 2017-06-28 A. K. Hashagen