Quantum Brain

Papers

Live trends in quantum computing research, updated daily from arXiv.

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30,392

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14,830 papers in 12 months (-23% vs prior quarter)

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6,594 papers found

Variational Quantum Circuits for Quantum State Tomography

Yong Liu, Dongyang Wang, Shichuan Xue +9 more·Dec 16, 2019

Quantum state tomography is a key process in most quantum experiments. In this work, we employ quantum machine learning for state tomography. Given an unknown quantum state, it can be learned by maximizing the fidelity between the output of a variati...

PhysicsComputer Science

Quantum advantage from energy measurements of many-body quantum systems

Leonardo Novo, Juan Bermejo-Vega, R. Garc'ia-Patr'on·Dec 13, 2019

The problem of sampling outputs of quantum circuits has been proposed as a candidate for demonstrating a quantum computational advantage (sometimes referred to as quantum "supremacy"). In this work, we investigate whether quantum advantage demonstrat...

Computer SciencePhysics

Additive-error fine-grained quantum supremacy

T. Morimae, Suguru Tamaki·Dec 13, 2019

It is known that several sub-universal quantum computing models, such as the IQP model, the Boson sampling model, the one-clean qubit model, and the random circuit model, cannot be classically simulated in polynomial time under certain conjectures in...

MathematicsComputer SciencePhysics

Dynamical structure factors of dynamical quantum simulators

M. L. Baez, M. Goihl, J. Haferkamp +3 more·Dec 12, 2019

Significance Quantum simulators promise to offer new insights into strongly correlated matter beyond what is accessible by means of classical computers. We propose dynamical quantum simulators (DQSs) as a method to simulate dynamical structure factor...

PhysicsMedicine

On the equivalence between quantum and random walks on finite graphs

M. G. Andrade, F. Marquezino, Daniel R. Figueiredo·Dec 12, 2019

Quantum walks on graphs are ubiquitous in quantum computing finding a myriad of applications. Likewise, random walks on graphs are a fundamental building block for a large number of algorithms with diverse applications. While the relationship between...

Computer ScienceMathematicsPhysics

Choi states, symmetry-based quantum gate teleportation, and stored-program quantum computing

Dongsheng Wang·Dec 12, 2019

The stored-program architecture is canonical in classical computing, while its power has not been fully recognized for the quantum case. We study quantum information processing with stored quantum program states, i.e., using qubits instead of bits to...

Physics

Iterative quantum amplitude estimation

Dmitry Grinko, Julien Gacon, Christa Zoufal +1 more·Dec 11, 2019

We introduce a variant of Quantum Amplitude Estimation (QAE), called Iterative QAE (IQAE), which does not rely on Quantum Phase Estimation (QPE) but is only based on Grover’s Algorithm, which reduces the required number of qubits and gates. We provid...

MathematicsPhysics

Post-quantum zero knowledge in constant rounds

Nir Bitansky, Omri Shmueli·Dec 10, 2019

We construct a constant-round zero-knowledge classical argument for NP secure against quantum attacks. We assume the existence of Quantum Fully-Homomorphic Encryption and other standard primitives, known based on the Learning with Errors Assumption f...

Computer ScienceMathematicsPhysics

Grover Adaptive Search for Constrained Polynomial Binary Optimization

Austin Gilliam, Stefan Woerner, Constantin Gonciulea·Dec 9, 2019

In this paper we discuss Grover Adaptive Search (GAS) for Constrained Polynomial Binary Optimization (CPBO) problems, and in particular, Quadratic Unconstrained Binary Optimization (QUBO) problems, as a special case. GAS can provide a quadratic speed...

Computer SciencePhysics

Initial states for quantum field simulations in phase space

P. Drummond, B. Opanchuk·Dec 8, 2019

Bosonic quantum fields can be simulated with `quantum software' in phase-space. The positive-P, Wigner and Q-function phase-space methods are reviewed. Initial quantum states and boundaries for infinite domains are considered in detail. The quantum i...

Physics

Contracting Arbitrary Tensor Networks: General Approximate Algorithm and Applications in Graphical Models and Quantum Circuit Simulations.

Feng Pan, Pengfei Zhou, Sujie Li +1 more·Dec 6, 2019

We present a general method for approximately contracting tensor networks with an arbitrary connectivity. This enables us to release the computational power of tensor networks to wide use in inference and learning problems defined on general graphs. ...

MedicinePhysicsComputer Science

Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations

Chang-Yu Hsieh, Qiming Sun, Shengyu Zhang +1 more·Dec 6, 2019

Neural-network quantum state (NQS) has attracted significant interests as a powerful wave-function ansatz to model quantum phenomena. In particular, a variant of NQS based on the restricted Boltzmann machine (RBM) has been adapted to model the ground...

Computer SciencePhysics

Quantum unary approach to option pricing

Sergi Ramos-Calderer, Adrián Pérez-Salinas, Diego García-Martín +4 more·Dec 3, 2019

We present a novel quantum algorithm for European option pricing in finance, where the key idea is to work in the unary representation of the asset value. The algorithm needs novel circuitry and is divided in three parts: first, the amplitude distrib...

PhysicsComputer Science

Density matrix based perturbative corrections for improved quantum simulation accuracy

T. Morris, Z. P. Parks, A. McCaskey +2 more·Dec 2, 2019

We present error mitigation (EM) techniques for noisy intermediate-scale quantum computers (QC) based on density matrix purification and perturbative corrections to the target energy. We incorporate this scheme into the variational quantum eigensolve...

Physics

Benchmarking Quantum Computers and the Impact of Quantum Noise

Salonik Resch, Ulya R. Karpuzcu·Dec 2, 2019

Benchmarking is how the performance of a computing system is determined. Surprisingly, even for classical computers this is not a straightforward process. One must choose the appropriate benchmark and metrics to extract meaningful results. Different ...

Computer SciencePhysics

Reducing computations in quantum walk algorithms

Asif Shakeel·Dec 2, 2019

Quantum walks (QWs) are of interest as examples of uniquely quantum behavior and are applicable in a variety of quantum search and simulation models. Implementing QWs on quantum devices is useful from both points of view. We describe a prototype one-...

Computer SciencePhysics

Towards analyzing large graphs with quantum annealing

H. Reittu, Ville Kotovirta, Lasse Leskelä +2 more·Dec 1, 2019

The use of quantum computing in graph community detection and regularity checking related to Szemerédi’s Regularity Lemma (SRL) are demonstrated with D-Wave Systems’ quantum annealer and simulations. We demonstrate the capability of quantum computing...

Computer SciencePhysicsMathematics

An adaptive algorithm for quantum circuit simulation

R. Schutski, Danil Lykov, I. Oseledets·Nov 28, 2019

Efficient simulation of quantum computers is essential for the development and validation of near-term quantum devices and the research on quantum algorithms. Up to date, two main approaches to simulation were in use, based on either full state or si...

Computer SciencePhysics

Reduction of qubits in a quantum algorithm for Monte Carlo simulation by a pseudo-random-number generator

Koichi Miyamoto, Kenji Shiohara·Nov 28, 2019

It is known that quantum computers can speed up Monte Carlo simulation compared to classical counterparts. There are already some proposals of application of the quantum algorithm to practical problems, including quantitative finance. In many problem...

Computer SciencePhysicsEconomics

A Data Driven Approach to Learning The Hamiltonian Matrix in Quantum Mechanics

Jordan Burns, D. Maughan, Yih Sung·Nov 28, 2019

We present a new machine learning technique which calculates a real-valued, time independent, finite dimensional Hamiltonian matrix from only experimental data. A novel cost function is given along with a proof that the cost function has the theoreti...

Computer SciencePhysics
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