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Tensor network quantum states are powerful tools for strongly correlated systems, tailored to capture local correlations such as in ground states with entanglement area laws. When applying tensor network states to interacting fermionic…

Strongly Correlated Electrons · Physics 2025-01-10 Ang-Kun Wu , Benedikt Kloss , Wladislaw Krinitsin , Matthew T. Fishman , J. H. Pixley , E. M. Stoudenmire

Quantum channels describe subsystem or open system evolution. Using the classical Koopman operator that evolves functions on phase space, 4 classical Koopman channels are identified that are analogs of the 4 possible quantum channels in a…

Quantum Physics · Physics 2024-07-22 Bidhi Vijaywargia , Arul Lakshminarayan

The problem of dephasing channel discrimination is addressed for finite-dimensional systems. In particular, the optimization with respect to input states without energy constraint is solved analytically for qubit, qutrit and ququart.…

Quantum Physics · Physics 2023-10-25 Milajiguli Rexiti , Laleh Memarzadeh , Stefano Mancini

Encoding schemes and error-correcting codes are widely used in information technology to improve the reliability of data transmission over real-world communication channels. Quantum information protocols can further enhance the performance…

The Glauber-Sudarshan diagonal `weight' function provides a natural divide between the quantum-optical notion of classical and nonclassical states of continuous variables systems. Based on this demarcation, a channel is said to be…

Quantum Physics · Physics 2016-04-28 Krishna Kumar Sabapathy

The quantum capacity of bosonic Gaussian quantum channels can be non-additive in a particularly striking way: a pair of such optical-fiber type channels can individually have zero quantum capacity but super-activate each other such that the…

Quantum Physics · Physics 2013-12-23 Daniel Lercher , Géza Giedke , Michael M. Wolf

A two-user discrete memoryless compound multiple access channel with a common message and conferencing decoders is considered. The capacity region is characterized in the special cases of physically degraded channels and unidirectional…

Information Theory · Computer Science 2016-11-18 O. Simeone , D. Gunduz , H. V. Poor , A. Goldsmith , S. Shamai

A striking feature of quantum error correcting codes is that they can sometimes be used to correct more errors than they can uniquely identify. Such degenerate codes have long been known, but have remained poorly understood. We provide a…

Quantum Physics · Physics 2007-05-23 Graeme Smith , John A. Smolin

This paper explores the two-user Gaussian interference channel through the lens of a natural deterministic channel model. The main result is that the deterministic channel uniformly approximates the Gaussian channel, the capacity regions…

Information Theory · Computer Science 2008-07-22 Guy Bresler , David Tse

Variational quantum algorithms (VQAs) have been proposed as one of the most promising approaches to demonstrate quantum advantage on noisy intermediate-scale quantum (NISQ) devices. However, it has been unclear whether VQAs can maintain…

Quantum Physics · Physics 2022-11-15 Shigeo Hakkaku , Yuichiro Tashima , Kosuke Mitarai , Wataru Mizukami , Keisuke Fujii

The applications of the general formulae of channel capacity developed in the quantum information theory to evaluation of information transmission capacity of optical channel are interesting subjects. In this review paper, we will point out…

Quantum Physics · Physics 2007-05-23 Masaki Sohma , Osamu Hirota

A dynamical model for quantum channel is introduced which allows one to pass continuously from the memoryless case to the case in which memory effects are present. The quantum and classical communication rates of the model are defined and…

Quantum Physics · Physics 2009-11-11 Vittorio Giovannetti

Quantum communication and computation heavily rely on entanglement distillation protocols. There is a plethora of distillation protocols for Pauli channels and also for some non-Pauli channels. However, an effort to relate the effectiveness…

Quantum Physics · Physics 2025-02-05 Dina Abdelhadi , Tomas Jochym-O'Connor , Vikesh Siddhu , John Smolin

Quantum channels can describe all transformations allowed by quantum mechanics. We provide an explicit universal protocol to construct all possible quantum channels, using a single qubit ancilla with quantum non-demolition readout and…

We investigate estimation of fluctuating channels and its effect on security of continuous-variable quantum key distribution. We propose a novel estimation scheme which is based on the clusterization of the estimated transmittance data. We…

We consider Gaussian states of fermionic systems and study the action of the partial transposition on the density matrix. It is shown that, with a suitable choice of basis, these states are transformed into a linear combination of two…

Statistical Mechanics · Physics 2015-05-29 Viktor Eisler , Zoltan Zimboras

Quantum states naturally decay under noise. Many earlier works have quantified and demonstrated lower bounds on the decay rate, showing exponential decay in a wide variety of contexts. Here we study the converse question: are there uniform…

Quantum Physics · Physics 2024-01-01 Nicholas Laracuente , Graeme Smith

Fundamental limits on communication rates over quantum channels are given by mathematical expressions involving entropic formulas. Often, it is unclear if these expressions are computable. This thesis describes contributions to the study of…

Quantum Physics · Physics 2023-04-28 Mohammad A. Alhejji

We characterise a class of environmental noises that decrease coherent properties of quantum channels by introducing and analysing the properties of dephasing superchannels. These are defined as superchannels that affect only non-classical…

We propose a method to detect lower bounds to quantum capacities of a noisy quantum communication channel by means of few measurements. The method is easily implementable and does not require any knowledge about the channel. We test its…

Quantum Physics · Physics 2016-04-12 Chiara Macchiavello , Massimiliano F. Sacchi