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We propose a technique for performing quantum state tomography of photonic polarization-encoded multi-qubit states. Our method uses a single rotating wave plate, a polarizing beam splitter and two photon-counting detectors per photon mode.…

Quantum Physics · Physics 2013-01-18 Mohammadreza Mohammadi , Agata M. Branczyk , Daniel F. V. James

Cavity optomechanical (COM) sensors, enhanced by quantum squeezing or entanglement, have become powerful tools for measuring ultra-weak forces with high precision and sensitivity. However, these sensors usually rely on linear COM couplings,…

The recently proposed scheme for direct sampling of the quantum phase space by photon counting is discussed within the Wigner function formalism.

Quantum Physics · Physics 2007-05-23 Konrad Banaszek , Krzysztof Wodkiewicz

In order to investigate the role of initial quantum coherence in work probability distribution, it is necessary to explicitly consider a concrete measurement apparatus to record work rather than implicitly appealing to perform an energy…

Quantum Physics · Physics 2024-10-29 Bao-Ming Xu , Jian Zou , Zhan-Chun Tu

We consider the Wigner quasi-probability distribution function of a single mode of an electromagnetic or matter-wave field to address the question of whether a direct stochastic sampling and binning of the absolute square of the complex…

Quantum Physics · Physics 2016-09-13 R. J. Lewis-Swan , M. K. Olsen , K. V. Kheruntsyan

Considering the problem of sampling from the output photon-counting probability distribution of a linear-optical network for input Gaussian states, we obtain results that are of interest from both quantum theory and the computational…

Quantum Physics · Physics 2015-02-16 Saleh Rahimi-Keshari , Austin P. Lund , Timothy C. Ralph

In this work, the operator-sum representation of a quantum process is extended to the probability representation of quantum mechanics. It is shown that each process admitting the operator-sum representation is assigned a kernel, convolving…

Quantum Physics · Physics 2022-02-03 Yan Przhiyalkovskiy

The photon density operator function is used to calculate light beam propagation through turbulent atmosphere. A kinetic equation for the photon distribution function is derived and solved using the method of characteristics. Optical wave…

Quantum Physics · Physics 2009-11-13 G. P. Berman , A. A. Chumak

The phase-space quasi-probability distribution formalism for representing quantum states provides practical tools for various applications in quantum optics such as identifying the nonclassicality of quantum states. We study filter…

Quantum Physics · Physics 2023-07-26 Mani Zartab , Ezad Shojaee , Saleh Rahimi-Keshari

We propose an efficient quantum key distribution scheme based on entanglement. The sender chooses pairs of photons in one of the two equivalent nonmaximally entangled states randomly, and sends a sequence of photons from each pair to the…

Quantum Physics · Physics 2009-11-07 Peng Xue , Chuan-Feng Li , Guang-Can Guo

Symplectic and optical joint probability representations of quantum mechanics are considered, in which the functions describing the states are the probability distributions with all random arguments (except the argument of time ). The…

Quantum Physics · Physics 2017-02-01 Ya. A. Korennoy , V. I. Man'ko

We analyze the impact of photon loss on the photon-number statistics of Gaussian states. Specifically, we propose and carefully evaluate several methods to mitigate deviations in the photon-number distributions of lossy (displaced) squeezed…

Quantum Physics · Physics 2026-03-24 Hendrik Ellenberg , René Sondenheimer

We show that every quantum computation can be described by Bayesian update of a probability distribution on a finite state space. When applied to the model of quantum computation with magic states, the size of this state space only depends…

Quantum Physics · Physics 2021-02-02 Michael Zurel , Cihan Okay , Robert Raussendorf

The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is…

Quantum Physics · Physics 2015-06-16 Werner Stulpe

The counting statistics give insight into the properties of quantum states of light and other quantum states of matter such as ultracold atoms or electrons. The theoretical description of photon counting was derived in the 1960s and was…

Quantum Physics · Physics 2012-08-23 Sibylle Braungardt , Mirta Rodríguez , Roy J. Glauber , Maciej Lewenstein

The theory of quantum propagator and time--dependent integrals of motion in quantum optics is reviewed as well as the properties of Wigner function, Q--function, and coherent state representation. Propagators and wave functions of a free…

Quantum Physics · Physics 2009-10-28 V. I. Man'ko

We revisit the Perelomov SU(1,1) displaced coherent states states as possible quantum states of light. We disclose interesting statistical aspects of these states in relation with photon counting and squeezing. In the non-displaced case we…

Quantum Physics · Physics 2023-04-24 Jean Pierre. -P. Gazeau , Mariano A. del Olmo

In a recent paper (Tran et al., Ann.Phys.311(2004)204), some asymptotic number theoretical results on the partitioning of an integer were derived exploiting its connection to the quantum density of states of a many-particle system. We…

Mathematical Physics · Physics 2009-11-11 C. S. Srivatsan , M. V. N. Murthy , R. K. Bhaduri

A density matrix $\rho$ may be represented in many different ways as a mixture of pure states, $\rho = \sum_i p_i |\psi_i\ra \la \psi_i|$. This paper characterizes the class of probability distributions $(p_i)$ that may appear in such a…

Quantum Physics · Physics 2009-10-31 M. A. Nielsen

The quantum theory of electromagnetic radiation predicts characteristic statistical fluctuations for light sources as diverse as sunlight, laser radiation and molecule fluorescence. Indeed, these underlying statistical fluctuations of light…

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