4.6 Article

Connecting Ansatz Expressibility to Gradient Magnitudes and Barren Plateaus

Related references

Note: Only part of the references are listed.
Article Quantum Science & Technology

Large gradients via correlation in random parameterized quantum circuits

Tyler Volkoff et al.

Summary: This study demonstrates that reducing the dimensionality of parameter space by utilizing circuit modules containing spatially or temporally correlated gate layers can help avoid the vanishing gradient phenomenon. In the variational versions of Grover's algorithm, as the number of layers increases towards O(2n/2), the bounds on cost function variation suggest a transition from vanishing gradients to efficient trainability.

QUANTUM SCIENCE AND TECHNOLOGY (2021)

Article Physics, Multidisciplinary

Noise resilience of variational quantum compiling

Kunal Sharma et al.

NEW JOURNAL OF PHYSICS (2020)

Article Quantum Science & Technology

IBM Q Experience as a versatile experimental testbed for simulating open quantum systems

Guillermo Garcia-Perez et al.

NPJ QUANTUM INFORMATION (2020)

Article Physics, Multidisciplinary

Variational Quantum Simulation of General Processes

Suguru Endo et al.

PHYSICAL REVIEW LETTERS (2020)

Article Quantum Science & Technology

Variational Quantum Fidelity Estimation

M. Cerezo et al.

QUANTUM (2020)

Article Quantum Science & Technology

Variational quantum state diagonalization

Ryan LaRose et al.

NPJ QUANTUM INFORMATION (2019)

Review Chemistry, Multidisciplinary

Quantum Chemistry in the Age of Quantum Computing

Yudong Cao et al.

CHEMICAL REVIEWS (2019)

Article Multidisciplinary Sciences

Quantum supremacy using a programmable superconducting processor

Frank Arute et al.

NATURE (2019)

Article Chemistry, Physical

Generalized Unitary Coupled Cluster Wave functions for Quantum Computation

Joonho Lee et al.

JOURNAL OF CHEMICAL THEORY AND COMPUTATION (2019)

Article Multidisciplinary Sciences

Double-slit photoelectron interference in strong-field ionization of the neon dimer

Maksim Kunitski et al.

NATURE COMMUNICATIONS (2019)

Article Computer Science, Artificial Intelligence

From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz

Stuart Hadfield et al.

ALGORITHMS (2019)

Article Quantum Science & Technology

Theory of variational quantum simulation

Xiao Yuan et al.

QUANTUM (2019)

Article Quantum Science & Technology

Quantum-assisted quantum compiling

Sumeet Khatri et al.

QUANTUM (2019)

Article Quantum Science & Technology

AN INITIALIZATION STRATEGY FOR ADDRESSING BARREN PLATEAUS IN PARAMETRIZED QUANTUM CIRCUITS

Edward Grant et al.

QUANTUM (2019)

Article Quantum Science & Technology

Expressibility and Entangling Capability of Parameterized Quantum Circuits for Hybrid Quantum-Classical Algorithms

Sukin Sim et al.

ADVANCED QUANTUM TECHNOLOGIES (2019)

Article Multidisciplinary Sciences

Barren plateaus in quantum neural network training landscapes

Jarrod R. McClean et al.

NATURE COMMUNICATIONS (2018)

Article Quantum Science & Technology

Quantum Computing in the NISQ era and beyond

John Preskill

QUANTUM (2018)

Article Multidisciplinary Sciences

Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets

Abhinav Kandala et al.

NATURE (2017)

Review Multidisciplinary Sciences

Quantum machine learning

Jacob Biamonte et al.

NATURE (2017)

Article Physics, Multidisciplinary

Efficient Variational Quantum Simulator Incorporating Active Error Minimization

Ying Li et al.

PHYSICAL REVIEW X (2017)

Article Physics, Particles & Fields

Chaos and complexity by design

Daniel A. Roberts et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Article Quantum Science & Technology

Quantum autoencoders for efficient compression of quantum data

Jonathan Romero et al.

QUANTUM SCIENCE AND TECHNOLOGY (2017)

Article Engineering, Multidisciplinary

Symbolic integration with respect to the Haar measure on the unitary groups

Z. Puchala et al.

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES (2017)

Article Physics, Mathematical

Local Random Quantum Circuits are Approximate Polynomial-Designs

Fernando G. S. L. Brandao et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2016)

Article Physics, Multidisciplinary

The theory of variational hybrid quantum-classical algorithms

Jarrod R. McClean et al.

NEW JOURNAL OF PHYSICS (2016)

Article Optics

Progress towards practical quantum variational algorithms

Dave Wecker et al.

PHYSICAL REVIEW A (2015)

Article Physics, Multidisciplinary

An introduction to quantum machine learning

Maria Schuld et al.

CONTEMPORARY PHYSICS (2015)

Article Multidisciplinary Sciences

A variational eigenvalue solver on a photonic quantum processor

Alberto Peruzzo et al.

NATURE COMMUNICATIONS (2014)

Article Physics, Mathematical

Random Quantum Circuits are Approximate 2-designs

Aram W. Harrow et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2009)

Article Physics, Mathematical

Evenly distributed unitaries: On the structure of unitary designs

D. Gross et al.

JOURNAL OF MATHEMATICAL PHYSICS (2007)

Article Computer Science, Information Systems

Quantum data hiding

DP DiVincenzo et al.

IEEE TRANSACTIONS ON INFORMATION THEORY (2002)