40 citations · 316 across the 44 of their papers we have counts for
43 papers · 1 filter
Measurement-based quantum state transfer and restoring via spin-1/2 chain interacting with environment
E. B. Fel'dman, A. I. Zenchuk
We consider the multi-qubit fixed-excitation state transfer along the spin chain with dipole-dipole interaction subjected to the interaction with environment governed by the Lindbl…
Matrix encoding method in variational algorithm of calculating eigenvalues and generalized eigenvalues
Alexander I. Zenchuk, Junde Wu
We propose a variational method for constructing the eigenvalues and generalized eigenvalues for an arbitrary complex matrix. The quantum part of our algorithm is based…
Teleportation via spin-1/2 chain in solid-state quantum architecture
E. B. Fel'dman, S. I. Doronin, E. I. Kuznetsova +1
We propose the protocol for preparing the maximally entangled Bell state between remote qubits at the ends of the spin-1/2 chain governed by the specially engineered nearest-neighb…
Coherence restoring in communication line via controlled interaction with environment
E. B. Fel'dman, I. D. Lazarev, A. N. Pechen +1
We consider the state-restoring protocol based on the controlled interaction of a linear chain with environment through { incoherent control by} the specially adjusted step-wise ti…
Perfect pure quantum state transfer via state restoring and ancilla measurement
E. B. Fel'dman, J. Wu, A. I. Zenchuk
We propose the protocol for perfect state transfer of an arbitrary pure quantum state along the spin-1/2 chain governed by the Hamiltonian preserving the excitation number in the s…
Arbitrary state creation via controlled measurement
Alexander I. Zenchuk, Wentao Qi, Junde Wu
The initial state creation is a starting point of many quantum algorithms and usually is considered as a separate subroutine not included into the algorithm itself. There are many…
Restoring of quantum state transferred along XY-spin chain and entanglement evolution
N. A. Tashkeev, A. I. Zenchuk
We propose a protocol restoring the state transferred along the spin chain governed by the XY-Hamiltonian. Such dynamics does not preserve the excitation number and leads to mixing…
Matrix encoding method in variational quantum singular value decomposition
Alexander I. Zenchuk, Wentao Qi, Junde Wu
We propose the variational quantum singular value decomposition based on encoding the elements of the considered { } matrix into the state of a quantum system of appropr…
Quantumly controlled measurement, Hermitian conjugation and normalization in matrix-manipulation algorithms
Edward B. Fel'dman, Alexander I. Zenchuk, Wentao Qi +1
In this paper, we solve three important problems that are revealed, in particular, to matrix-manipulation algorithms. The principal novelty is introducing the concept of quantumly…
Two-level control over quantum state creation via entangled equal-probability state
S. I. Doronin, E. B. Fel'dman, A. I. Zenchuk
We propose the scheme realizing the two-level control over the unitary operators creating the required quantum state of the system . These operators are controlled by the…
Remarks on controlled measurement and quantum algorithm for calculating Hermitian conjugate
Edward B. Fel'dman, Alexander I. Zenchuk, Wentao Qi +1
We present two new aspects for the recently proposed algorithms for matrix manipulating based on the special encoding the matrix elements into the superposition state of a quantum…
Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
Georgii A. Bochkin, Sergei I. Doronin, Edward B. Fel'dman +4
We consider the remote state restoring and perfect transfer of the zero-order coherence matrix (PTZ) in a spin system governed by the XXZ-Hamiltonian conserving the excitation numb…
One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian
E. B. Fel'dman, E. I. Kuznetsova, A. I. Zenchuk
We analytically investigate the one-excitation spin dynamics in a homogeneous closed spin-1/2 chain via diagonalization of the one-excitation block of the XX-Hamiltonian, which all…
Optimal remote restoring of quantum states in communication lines via local magnetic field
E. B. Fel'dman, A. N. Pechen, A. I. Zenchuk
Optimal state transport across spin chains, which are proposed as quantum wires for information transfer in solid state quantum architectures, is an important topic for quantum tec…
Quantum algorithms for calculating determinant and inverse of matrix and solving linear algebraic systems
Alexander I. Zenchuk, Georgii A. Bochkin, Wentao Qi +2
We propose quantum algorithms, purely quantum in nature, for calculating the determinant and inverse of an matrix (depth is ) which is a simple mo…
Matrix manipulations via unitary transformations and ancilla-state measurements
Alexander I. Zenchuk, Wentao Qi, Asutosh Kumar +1
We propose protocols for calculating inner product, matrix addition and matrix multiplication based on multiqubit Toffoli-type and the simplest one-qubit operations and employ anci…
Remote restoring of -excitation states and concurrence scaling
N. A. Tashkeev, A. I. Zenchuk
We study the long distance (0,1)-excitation state restoring in the linear open chain governed by the XX-Hamiltonian. We show that restoring the 1-order coherence matrix results in…
Quantum algorithms for matrix operations and linear systems of equations
Wentao Qi, Alexandr I. Zenchuk, Asutosh Kumar +1
Fundamental matrix operations and solving linear systems of equations are ubiquitous in scientific investigations. Using the "Sender-Receiver" model, we propose quantum algorithms…
Transfer of 0-order coherence matrix along spin-1/2 chain
G. A. Bochkin, E. B. Fel'dman, I. D. Lazarev +2
In this work, we study transfer of coherence matrices along spin-1/2 chains of various length. Unlike higher order coherence matrices, 0-order coherence matrix can be perfectly tra…
Simulation of multiple-quantum NMR dynamics of spin dimer on quantum computer
S. I. Doronin, E. B. Fel'dman, E. I. Kuznetsova +1
Dymanics of spin dimers in multiple quantum NMR experiment is studied on the 5-qubit superconducting quantum processor of IBM {Quantum Experience} for the both {pure} ground and th…
Simulation of three-spin evolution under XX Hamiltonian on quantum processor of IBM-Quantum Experience
S. I. Doronin, E. B. Fel'dman, A. I. Zenchuk
We simulate the evolution of three-node spin chain on the quantum processor of IBM Quantum Experience using the diagonalization of -Hamiltonian and representing the evolution o…
Complete structural restoring of transferred multi-qubit quantum state
E. B. Fel'dman, A. N. Pechen, A. I. Zenchuk
We develop the protocol for structural restoring of multi-quantum coherence matrices of the multi-qubit quantum state transferred from the sender to the receiver along a spin-1/2 c…
Calculation of on the IBM quantum computer and the accuracy of one-qubit operations
G. A. Bochkin, S. I. Doronin, E. B. Fel'dman +1
A quantum algorithm for the calculation of is proposed and implemented on the five-qubit IBM quantum computer with superconducting qubits. We find . The error…
Computing scalar products via a two-terminal quantum transmission line
J. Stolze, A. I. Zenchuk
The scalar product of two vectors with real components can be computed using two quantum channels, that is, information transmission lines in the form of spin-1/2 XX chains. Ea…