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Representations of quantum computations are almost always based on a tensor product $\otimes$-structure. This coincides with what we are able to execute in our experiments, as well as what we observe in Nature, but it makes certain familiar…

Quantum Physics · Physics 2021-11-05 Luca Mondada

We prove that universal quantum computation is possible using only (i) the physically natural measurement on two qubits which distinguishes the singlet from the triplet subspace, and (ii) qubits prepared in almost any three different…

Quantum Physics · Physics 2009-11-11 Terry Rudolph , Shashank Soyuz Virmani

A new model of quantum computation is considered, in which the connections between gates are programmed by the state of a quantum register. This new model of computation is shown to be more powerful than the usual quantum computation, e. g.…

Quantum Physics · Physics 2013-05-27 Timoteo Colnaghi , Giacomo Mauro D'Ariano , Paolo Perinotti , Stefano Facchini

The problem of lossy transmission of correlated sources over memoryless two-way channels (TWCs) is considered. The objective is to develop a robust low delay and low complexity source-channel coding scheme without using error correction. A…

Information Theory · Computer Science 2019-07-23 Saeed Rezazadeh , Fady Alajaji , Wai-Yip Chan

We investigate quantum entanglement in high-energy $2\to 2$ scalar scattering, where the scalars are characterized by an internal flavor quantum number acting like a qubit. Working at the 1-loop order in perturbation theory, we build the…

High Energy Physics - Phenomenology · Physics 2024-11-20 Kamila Kowalska , Enrico Maria Sessolo

We present a variational quantum circuit that produces the Singular Value Decomposition of a bipartite pure state. The proposed circuit, that we name Quantum Singular Value Decomposer or QSVD, is made of two unitaries respectively acting on…

Quantum Physics · Physics 2020-06-08 Carlos Bravo-Prieto , Diego García-Martín , José I. Latorre

We describe a method for simulating the real time evolution of extended quantum systems in two dimensions. The method combines the benefits of integrability and matrix product states in one dimension to avoid several issues that hinder…

Statistical Mechanics · Physics 2017-01-05 A. J. A. James , R. M. Konik

A quantum channel is a mapping which sends density matrices to density matrices. The estimation of quantum channels is of great importance to the field of quantum information. In this thesis two topics related to estimation of quantum…

Quantum Physics · Physics 2010-01-25 Caleb J. O'Loan

A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus operators according to the measurement results. From an…

Quantum Physics · Physics 2022-04-04 Maël Bompais , Nina H. Amini , Clément Pellegrini

We consider single-channel transmission through a double quantum dot system that consists of two single dots coupled by a wire of finite length L. In order to explain the numerically obtained results for a realistic double dot system we…

Other Condensed Matter · Physics 2007-05-23 I. Rotter , A. F. Sadreev

Due to the linearity of quantum operations, it is not straightforward to implement nonlinear transformations on a quantum computer, making some practical tasks like a neural network hard to be achieved. In this work, we define a task called…

Quantum Physics · Physics 2024-05-20 Naixu Guo , Kosuke Mitarai , Keisuke Fujii

Since a quantum measurement generally disturbs the state of a quantum system, one might think that it should not be possible for a sender and receiver to communicate reliably when the receiver performs a large number of sequential…

Quantum Physics · Physics 2013-07-12 Mark M. Wilde

In this paper we show how to measure in the setting of digital quantum simulations the reflection and transmission amplitudes of the one-dimensional scattering of a particle with a short-ranged potential. The main feature of the protocol is…

Quantum Physics · Physics 2024-10-18 Giuseppe Mussardo , Andrea Stampiggi , Andrea Trombettoni

The Box-Muller transform is a widely used method to generate Gaussian samples from uniform samples. Quantum amplitude encoding methods encode the multi-variate normal distribution in the amplitudes of a quantum state. This work presents the…

Quantum Physics · Physics 2026-01-21 Dinh-Long Vu , Hitomi Mori , Patrick Rebentrost

The circuit model of quantum computation is reformulated as a multilayer network theory [3] called a Quantum Multiverse Network (QuMvN). The QuMvN formulation allows us to interpret the quantum wave function as a combination of ergodic…

Quantum Physics · Physics 2019-09-24 Perry Sakkaris , Ryan Sudhakaran

A quantum repeater at telecommunications wavelengths with long-lived atomic memory is proposed, and its critical elements are experimentally demonstrated using a cold atomic ensemble. Via atomic cascade emission, an entangled pair of 1530…

Quantum Physics · Physics 2009-11-13 T. Chaneliere , D. N. Matsukevich , S. D. Jenkins , T. A. B. Kennedy , M. S. Chapman , A. Kuzmich

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

The quantum properties of quantum measurements are indispensable resources in quantum information processing and have drawn extensive research interest. The conventional approach to reveal the quantum properties relies on the reconstruction…

Quantum Physics · Physics 2021-12-01 Liang Xu , Huichao Xu , Jie Xie , Hui Li , Lin Zhou , Feixiang Xu , Lijian Zhang

Quantum phase transition in the one-dimensional period-two and uniform quantum compass model are studied by using the pseudo-spin transformation method and the trace map method. The exact solutions are presented, the fidelity, the…

Strongly Correlated Electrons · Physics 2009-11-13 Ke-Wei Sun , Yu-Yu Zhang , Qing-Hu Chen

To every binary linear [n,k]-code C we associate a quantum state ("codeket") belonging to the n-th tensor power of the 2-dimensional complex Hilbert space associated to the spin 1/2 particle. We completely characterize the expectation…

Quantum Physics · Physics 2007-05-23 Mihai Caragiu