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Center for Nonlinear Studies |
In this talk, I will explore the conditions under which quantum operations preserve environment-assisted invariance (envariance), a symmetry of entanglement originally introduced by Wojciech H. Zurek. While envariance has typically been analyzed in the context of local unitary operations, I extend the discussion to encompass non-unitary local operations. I show that in order to preserve envariance, these operations must have Kraus representations that exhibit a direct-sum structure, effectively establishing decoherence-free subspaces. One important implication of this result is that environment-assisted shortcuts to adiabaticity are not achievable via non-unitary operations. Furthermore, we demonstrate that coupling the boundary conformal field theories (CFTs) to external baths breaks the static condition of the eternal black hole in the AdS/CFT correspondence.
Host: Yu Zhang (zhy@lanl.gov). If you want to meet with Prof. Sone, please feel free to schedule a meeting with him (akira.sone@umb.edu). He will sit in the drop in office 200-231A.