Search
Search Results
-
PauliComposer: compute tensor products of Pauli matrices efficiently
We introduce a simple algorithm that efficiently computes tensor products of Pauli matrices. This is done by tailoring the calculations to this...
-
Classical shadows with Pauli-invariant unitary ensembles
Classical shadows provide a noise-resilient and sample-efficient method for learning quantum system properties, relying on a user-specified unitary...
-
Pauli Matrices and Ring Puzzles
We study a family of tessellations of the Euclidean plane which are obtained by local developments of algebraic equations satisfied by the Pauli...
-
Steric effects from the perspective of Pauli energy
Pauli energy, representing the portion of the kinetic energy that embodies all the effects from the antisymmetric requirement of the total wave...
-
A model of randomly-coupled Pauli spins
We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin...
-
Self-consistent Maxwell-Pauli theory
We show that quantum mechanics can be constructed as a classical field theory that correctly describes all basic quantum effects. We construct the...
-
Homological Invariants of Pauli Stabilizer Codes
We study translationally invariant Pauli stabilizer codes with qudits of arbitrary, not necessarily uniform, dimensions. Using homological methods,...
-
A design method for efficient variational quantum models based on specific Pauli axis
The combination of quantum computing and machine learning is expected to solve problems that cannot be realized by classical computers in machine...
-
Pauli Spin Matrices, Adjoint Matrix, and Hermitian Matrix
In this chapter, I will show you some of the tedious mathematical derivations step-by-step. They are not difficult, and you just need to be patient...
-
Representations of Pauli–Fierz Type Models by Path Measures
Functional integral representations of the semigroups generated by Pauli–Fierz type Hamiltonians in quantum field theory are reviewed. Firstly we...
-
Pauli Manipulation Detection Codes and Applications to Quantum Communication over Adversarial Channels
We introduce and explicitly construct a quantum error-detection code we coin a “Pauli Manipulation Detection” code (or PMD), which detects every...
-
Automatic characterization of drug/amino acid interactions by energy decomposition analysis
The computational study of drug/protein interactions is fundamental to understand the mode of action of drugs and design new ones. In this study, we...
-
Resonances at the Threshold for Pauli Operators in Dimension Two
It is well-known that, due to the interaction between the spin and the magnetic field, the two-dimensional Pauli operator has an eigenvalue 0 at the...
-
Pauli Spin Matrices, Adjoint Matrix, and Hermitian Matrix
Be familiar with Pauli matrices and Pauli vector and their properties; Be familiar with matrix-vector multiplications; Understand the importance of...
-
Feature Combination of Pauli and H/A/Alpha Decomposition for Improved Oil Spill Detection Using SAR
Oil spill detection techniques using various decomposition algorithms have been studied by researchers and are still evolving. In this paper, two oil...
-
Probabilistic error cancellation with sparse Pauli–Lindblad models on noisy quantum processors
Noise in quantum computers can result in biased estimates of physical observables. Accurate bias-free estimates can be obtained using probabilistic...
-
Topological Decompositions of the Pauli Group and their Influence on Dynamical Systems
In the present paper we show that it is possible to obtain the well known Pauli group P = 〈 X , Y , Z | X 2 = Y 2 = Z 2 = 1,( Y Z ) 4 = ( Z X ) 4 = ( X Y ) 4 = 1〉 of...
-
Intermediate qutrit-assisted Toffoli gate decomposition with quantum error correction
Introducing a few intermediate qutrits for efficient decomposition of 3-qubit unitary gates has been proposed recently to obtain an exponential...
-
Direct tomography of quantum states and processes via weak measurements of Pauli spin operators on an NMR quantum processor
AbstractIn this paper, we present an efficient weak measurement-based scheme for direct quantum state tomography (DQST) and direct quantum process...
-
Two-round quantum homomorphic encryption scheme based on matrix decomposition
As a promising emerging technology, quantum homomorphic encryption (QHE) attracts considerable attention in the domain of cloud computing. However,...
