Experimental proposal to probe the extended Pauli principle

Abstract

All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the fermionic wavefunction, however, implies additional constraints on the natural occupation numbers. These constraints depend on the dimensionality and purity of the system and have so far not been explored experimentally. Here, we propose an experiment in a system of multiple quantum dots capable of producing the highly entangled fermionic states necessary to reach the regime, where these additional constraints become dominant and can be probed. The type and strength of the required multi-fermion entanglement provides barriers to reaching deep into this regime. Transcending these barriers thus serves as a testing ground for the capabilities of future fermionic quantum information processing as well as quantum computer architectures based on fermionic states.

arXiv comment6+8 pages, 3+6 figures, 2 tables

References in corpus (27)

• Three qubits can be entangled in two inequivalent ways
• On the Measurement of Qubits
• Quantum computational chemistry
• Scalable Quantum Simulation of Molecular Energies
• Elucidating Reaction Mechanisms on Quantum Computers
• Resonance fluorescence from a coherently driven semiconductor quantum dot in a cavity
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information
• The Pauli principle revisited
• The Spectra of Density Operators and the Kronecker Coefficients of the Symmetric Group
• Quantum marginal problem and representations of the symmetric group
• Pinning of Fermionic Occupation Numbers
• On Nonzero Kronecker Coefficients and their Consequences for Spectra
• Entanglement Equivalence of $N$-qubit Symmetric States
• Quantum state transformations and the Schubert calculus
• Quasipinning and its relevance for $N$-Fermion quantum states
• Connecting N-representability to Weyl's problem: The one particle density matrix for N = 3 and R = 6
• Reconstructing the density matrix of a spin s through Stern-Gerlach measurements (II)
• Hubbard model: Pinning of occupation numbers and role of symmetries
• Generalized Pauli constraints in small atoms
• The Pauli exclusion principle and beyond
• Experimental Data from a Quantum Computer Verifies the Generalized Pauli Exclusion Principle
• Precision of single-qubit gates based on Raman transitions
• Practical verification protocols for analog quantum simulators
• On the time evolution of fermionic occupation numbers
• Implications of pinned occupation numbers for natural orbital expansions. I: Generalizing the concept of active spaces
• The Pauli principle and magnetism

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