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We investigate cat codes that can correct multiple excitation losses and identify two types of logical errors: bit-flip errors due to excessive excitation loss and dephasing errors due to quantum back-action from the environment. We show…

Starting from deformed quantum Heisenberg Lie algebras some realizations are given in terms of the usual creation and annihilation operators of the standard harmonic oscillator. Then the associated algebra eigenstates are computed and give…

数学物理 · 物理学 2007-05-23 Nibaldo Alvarez-Moraga

An interferometric experiment is described that characterizes an optical cat state in a cavity mode. Our method describes how to measure the amplitude and phase of the different coherent states that make up the cat states. We show that…

量子物理 · 物理学 2017-06-30 Marvellous Onuma-Kalu , Kae Nemoto , W. J. Munro , Robert B. Mann

Cooperative effects in the loss (the amplitude damping) and decoherence (the phase damping) of the qubits (two-state quantum systems) due to the inevitable coupling to the same environment are investigated. It is found that the qubits…

量子物理 · 物理学 2007-05-23 Lu-Ming Duan , Guang-Can Guo

We provide a unified approach for finding the coherent states of various deformed algebras, including quadratic, Higgs and q-deformed algebras, which are relevant for many physical problems. For the non-compact cases, coherent states, which…

量子物理 · 物理学 2007-05-23 V. Sunilkumar , B. A. Bambah , P. K. Panigrahi , V. Srinivasan

We consider a system composed of a two-level system (i.e. a qubit) and a harmonic oscillator in the ultrastrong-coupling regime, where the coupling strength is comparable to the qubit and oscillator energy scales. Special emphasis is placed…

量子物理 · 物理学 2010-04-20 S. Ashhab , Franco Nori

In this paper, using the notion of nonlinear coherent states, we define a deformed bosonic dephasing channel modelling the impact of a Kerr medium on a quantum state, as it occurs, for instance, in quantum communication based on optical…

量子物理 · 物理学 2022-11-17 Shahram Dehdashti , Janis Notzel , Peter van Loock

Quantum correlations in compound systems are of great importance, and they are fundamental resource for the development of quantum computation protocols and quantum information. In this work we construct bipartite pure coherent states using…

量子物理 · 物理学 2015-06-18 E. Castro , S. Díaz-Solórzano , R. Gómez , A. Zambrano , C. L. Ladera

When a superposition $(|\alpha>-|-\alpha>)$ of two coherent states with opposite phase falls upon a 50-50 beamsplitter, the resulting state is entangled. Remarkably, the amount of entanglement is exactly 1 ebit, irrespective of $\alpha$, as…

量子物理 · 物理学 2009-11-06 S. J. van Enk , O. Hirota

Noise-biased qubits are a promising route toward significantly reducing the hardware overhead associated with quantum error correction. The squeezed cat code, a non-local encoding in phase space based on squeezed coherent states, is an…

量子物理 · 物理学 2023-04-11 Timo Hillmann , Fernando Quijandría

Bosonic quantum codes redundantly encode quantum information in the states of a quantum harmonic oscillator, making it possible to detect and correct errors. Schr\"odinger cat codes -- based on the superposition of two coherent states with…

量子物理 · 物理学 2022-09-12 David S. Schlegel , Fabrizio Minganti , Vincenzo Savona

Solid state qubits realized in superconducting circuits are potentially extremely scalable. However, strong decoherence may be transferred to the qubits by various elements of the circuits that couple individual qubits, particularly when…

超导电性 · 物理学 2009-11-10 M. J. Storcz , J. Vala , K. R. Brown , J. Kempe , F. K. Wilhelm , K. B. Whaley

Quantum properties of the probes used to estimate a classical parameter can be used to attain accuracies that beat the standard quantum limit. When qubits are used to construct a quantum probe, it is known that initializing $n$ qubits in an…

量子物理 · 物理学 2009-11-13 Anil Shaji , Carlton M. Caves

We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable non-classical properties and reduce to Schr\"odinger cat states in a certain limit. The…

量子物理 · 物理学 2007-05-23 Xiao-Guang Wang , Hong-Chen Fu

A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Hermite polynomials is proposed, its some properties such as generating…

数学物理 · 物理学 2007-05-23 Si Cong Jing , Wei Min Yang

In this study, we explore the behavior of photon added coherent states in a deformed harmonic oscillator subjected to dissipative decoherence. We use $q-$deformation as our nonlinear function to model our system. By adjusting the…

量子物理 · 物理学 2026-05-15 Amit Das , Sobhan Sounda

We present a general unified approach for finding the coherent states of polynomially deformed algebras such as the quadratic and Higgs algebras, which are relevant for various multiphoton processes in quantum optics. We give a general…

量子物理 · 物理学 2007-05-23 V. SunilKumar , B. A. Bambah , R. Jagannathan , P. K. Panigrahi , V. Srinivasan

Some possible applications of deformed algebras to Quantum Physics are considered based on a rigorous approach. Jackson integrals are expressed in the context of the equipped separable Hilbert space. Jackson integrals are expressed in the…

数学物理 · 物理学 2025-04-08 Julio Cesar Jaramillo Quiceno , Plamen Neytchev Nechev

We investigate the estimation of dephasing-induced decoherence in continuous-variable quantum systems using non-Gaussian probe states. By purifying the open system, we identify optimal probes, specifically squeezed cat and symmetric…

量子物理 · 物理学 2026-01-27 Arman , Prasanta K. Panigrahi

We discuss several methods to produce superpositions of optical coherent states (also known as "cat states"). Cat states have remarkable properties that could allow them to be powerful tools for quantum information processing and metrology.…

量子物理 · 物理学 2009-11-13 S. Glancy , H. M. Vasconcelos