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Bosonic Continuous Variable Quantum Computing
Entanglement Theory Quantum Correlations
Open Quantum Systems Decoherence
Quantum Simulation
Equivariant Lagrangian displacements
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Authors: Dylan Cant, Julio Sampietro Christ
Year
2026
Paper ID
51958
Status
Peer-reviewed
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
Abstract
This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map. The method of proof is to develop a Borel equivariant version of the quantum cohomology of Biran and Cornea and prove that it is sensitive to equivariant displacements. The Floer–Euler class of Biran and Khanevsky appears as a term in the equivariant differential in certain cases.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map.
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