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Quantum Algorithms for Escaping from Saddle Points

期刊: QUANTUM, 2021; 5 ()

We initiate the study of quantum algorithms for escaping from saddle points with provable guarantee. Given a function f : R-n -> R, our quantum alg......

Quantum Marginal Problem and Incompatibility

期刊: QUANTUM, 2021; 5 ()

One of the basic distinctions between classical and quantum mechanics is the existence of fundamentally incompatible quantities. Such quantities are p......

Variational Quantum Singular Value Decomposition

期刊: QUANTUM, 2021; 5 ()

Singular value decomposition is central to many problems in engineering and scientific fields. Several quantum algorithms have been proposed to determ......

Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus

期刊: QUANTUM, 2021; 5 ()

In this paper, we propose a general scheme to analyze the gradient vanishing phenomenon, also known as the barren plateau phenomenon, in training quan......

Quantum Algorithms for Escaping from Saddle Points

期刊: QUANTUM, 2021; 5 ()

We initiate the study of quantum algorithms for escaping from saddle points with provable guarantee. Given a function f : R-n -> R, our quantum alg......

Photonic quantum data locking

期刊: QUANTUM, 2021; 5 ()

Quantum data locking is a quantum phenomenon that allows us to encrypt a long message with a small secret key with information-theoretic security. Thi......

Parallel entangling gate operations a d two-way quantum communication in spin chains

期刊: QUANTUM, 2021; 5 ()

The power of a quantum circuit is determined through the number of two-qubit entangling gates that can be performed within the coherence time of the s......

Towards understanding the power of quantum kernels in the NISQ era

期刊: QUANTUM, 2021; 5 ()

A key problem in the field of quantum computing is understanding whether quantum machine learning (QML) models implemented on noisy intermediate-scale......

Quantized Three-Ion-Channel Neuron Model for Neural Action Potentials

期刊: QUANTUM, 2020; 4 ()

The Hodgkin-Huxley model describes the conduction of the nervous impulse through the axon, whose membrane's electric response can be described employi......

Time-dependent Hamiltonian simulation with L-1-norm scaling

期刊: QUANTUM, 2020; 4 ()

The difficulty of simulating quantum dynamics depends on the norm of the Hamiltonian. When the Hamiltonian varies with time, the simulation complexity......

Entanglement-breaking superchannels

期刊: QUANTUM, 2020; 4 ()

In this paper we initiate the study of entanglement-breaking (EB) superchannels. These are processes that always yield separable maps when acting on o......

Gadget structures in proofs of the Kochen-Specker theorem

期刊: QUANTUM, 2020; 4 ()

The Kochen-Specker theorem is a fundamental result in quantum foundations that has spawned massive interest since its inception. We show that within e......

Accelerated variational algorithms for digital quantum simulation of the many-body ground states

期刊: QUANTUM, 2020; 4 ()

One of the key applications for the emerging quantum simulators is to emulate the ground state of many-body systems, as it is of great interest in var......

Yao.jl: Extensible, Efficient Framework for Quantum Algorithm Design

期刊: QUANTUM, 2020; 4 ()

We introduce Yao, an extensible, efficient open-source framework for quantum algorithm design. Yao features generic and differentiable programming of ......

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