Fast computation of spherical phase-space functions of quantum many-body states

• URL: http://arxiv.org/abs/2008.06481v1
• Date: Fri, 14 Aug 2020 17:38:01 GMT
• Title: Fast computation of spherical phase-space functions of quantum many-body states
• Authors: B\'alint Koczor, Robert Zeier, Steffen J. Glaser
• Abstract summary: We focus on phase spaces for finite-dimensional quantum states of single qudits or permutationally symmetric states of multiple qubits. We present methods to efficiently compute the corresponding phase-space functions which are at least an order of magnitude faster than traditional methods.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum devices are preparing increasingly more complex entangled quantum states. How can one effectively study these states in light of their increasing dimensions? Phase spaces such as Wigner functions provide a suitable framework. We focus on phase spaces for finite-dimensional quantum states of single qudits or permutationally symmetric states of multiple qubits. We present methods to efficiently compute the corresponding phase-space functions which are at least an order of magnitude faster than traditional methods. Quantum many-body states in much larger dimensions can now be effectively studied by experimentalists and theorists using these phase-space techniques.

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