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Cost function dependent barren plateaus in shallow parametrized quantum circuits
TLDR
This work rigorously proves two results, assuming V(θ) is an alternating layered ansatz composed of blocks forming local 2-designs, that establish a connection between locality and trainability.
Variational Quantum Algorithms
TLDR
An overview of the field of Variational Quantum Algorithms is presented and strategies to overcome their challenges as well as the exciting prospects for using them as a means to obtain quantum advantage are discussed.
Quantum-assisted quantum compiling
TLDR
This work proposes a variational hybrid quantum-classical algorithm called quantum-assisted quantum compiling (QAQC), and presents both gradient-free and gradient-based approaches to minimizing the cost of this algorithm's cost.
Cost-Function-Dependent Barren Plateaus in Shallow Quantum Neural Networks
TLDR
Two results are rigorously proved that establish a connection between locality and trainability in VQAs and illustrate these ideas with large-scale simulations of a particular VQA known as quantum autoencoders.
Noise-induced barren plateaus in variational quantum algorithms
TLDR
This work rigorously proves a serious limitation for noisy VQAs, in that the noise causes the training landscape to have a barren plateau, and proves that the gradient vanishes exponentially in the number of qubits n if the depth of the ansatz grows linearly with n.
Error mitigation with Clifford quantum-circuit data
TLDR
A novel, scalable error-mitigation method that applies to gate-based quantum computers and obtains an order-of-magnitude error reduction for a ground-state energy problem on 16 qubits in an IBMQ quantum computer and on a 64-qubit noisy simulator.
Characterizing topological order by studying the ground States on an infinite cylinder.
TLDR
A thorough characterization of the hard-core boson Haldane model by using the two-dimensional density matrix renormalization group shows that it realizes a ν=1/2 bosonic fractional quantum Hall state.
Variational Quantum Linear Solver: A Hybrid Algorithm for Linear Systems
TLDR
This paper presents a parallel version of the Celada–Seiden cellular automaton that simulates the dynamic response of the immune system tozman, a type of “spatially aggregating” disease.
An Adaptive Optimizer for Measurement-Frugal Variational Algorithms
TLDR
A novel optimizer called individual Coupled Adaptive Number of Shots (iCANS) is introduced, which frugally selects the number of measurements both for a given iteration and for aGiven partial derivative in a stochastic gradient descent.
Variational Quantum Fidelity Estimation
TLDR
This work proposes novel lower and upper bounds for the fidelity F(ρ,σ) based on the ``truncated fidelity'' F(ν,σ), which is evaluated for a state ρm obtained by projecting ρ onto its m-largest eigenvalues, and introduces a hybrid quantum-classical algorithm, called Variational Quantum Fidelity Estimation, that involves three steps.
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