Experimental Data from a Quantum Computer Verifies the Generalized Pauli Exclusion Principle

Abstract

"What are the consequences ... that Fermi particles cannot get into the same state ... " R. P. Feynman wrote of the Pauli exclusion principle, "In fact, almost all the peculiarities of the material world hinge on this wonderful fact." In 1972 Borland and Dennis showed that there exist powerful constraints beyond the Pauli exclusion principle on the orbital occupations of Fermi particles, providing important restrictions on quantum correlation and entanglement. Here we use computations on quantum computers to experimentally verify the existence of these additional constraints. Quantum many-fermion states are randomly prepared on the quantum computer and tested for constraint violations. Measurements show no violation and confirm the generalized Pauli exclusion principle with an error of one part in one quintillion.

References in corpus (25)

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Charge insensitive qubit design derived from the Cooper pair box
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Simulated Quantum Computation of Molecular Energies
• Fermionic quantum computation
• Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
• Building logical qubits in a superconducting quantum computing system
• Generalized Schmidt decomposition and classification of three-quantum-bit states
• A simple all-microwave entangling gate for fixed-frequency superconducting qubits
• Quantum marginal problem and N-representability
• Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information
• The Pauli principle revisited
• On local invariants of pure three-qubit states
• Random access quantum information processors
• Pinning of Fermionic Occupation Numbers
• One-qubit reduced states of a pure many-qubit state: polygon inequalities
• Generalized Pauli conditions on the spectra of one-electron reduced density matrices of atoms and molecules
• Strong Electron Correlation in Nitrogenase Cofactor, FeMoco
• Generalized Pauli constraints in reduced density matrix functional theory
• Quantum signature of exciton condensation
• Quasipinning and selection rules for excitations in atoms and molecules
• How many CNOT gates does it take to generate a three-qubit state ?
• Generalized Pauli constraints in small atoms
• Natural Extension of Hartree-Fock through extremal $1$-fermion information: Overview and application to the lithium atom
• Polarization and frequency disentanglement of photons via stochastic polarization mode dispersion

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• Preparation of an Exciton Condensate of Photons on a 53-Qubit Quantum Computer
• Towards a Resolution of the Static Correlation Problem in Density Functional Theory from Semidefinite Programming
• On the time evolution of fermionic occupation numbers
• Numerical and Exact Analyses of Bures and Hilbert-Schmidt Separability and PPT-Probabilities
• Determining the N-representability of a reduced density matrix via unitary evolution and stochastic sampling
• Experimental proposal to probe the extended Pauli principle
• Quantum Simulation of Quantum Phase Transitions Using the Convex Geometry of Reduced Density Matrices
• A toolbox of spin-adapted generalized Pauli constraints
• Measuring the Mermin-Peres magic square using an online quantum computer
• Geometric Constraints on Two-electron Reduced Density Matrices
• Determining the ensemble N-representability of Reduced Density Matrices
• Quantum Computation