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Holographic duality from random tensor networks
A bstractTensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many of…
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The holographic entropy cone
A bstractWe initiate a systematic enumeration and classification of entropy inequalities satisfied by the Ryu-Takayanagi formula for conformal field theory states with smooth holographic dual…
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Bit Threads and Holographic Monogamy
TLDR
Bit threads are used to prove the monogamy of mutual information property of holographic entanglement entropies, using the concept of a so-called multicommodity flow, adapted from the network setting, and tools from the theory of convex optimization.
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Entanglement Wedge Reconstruction via Universal Recovery Channels
In the context of quantum theories of spacetime, one overarching question is how quantum information in the bulk spacetime is encoded holographically in boundary degrees of freedom. It is…
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Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes
TLDR
This paper initiates a systematic development of a theory of non-commutative optimization, a setting which greatly extends ordinary (Euclidean) convex optimization, and develops two general methods in the geodesic setting, a first order and a second order method which respectively receive first and second order information on the "derivatives" of the function to be optimized.
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Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information
TLDR
This work shows that in the case of pure, multiparticle quantum states, features of the global entanglement can already be extracted from local information alone and gives rise to local witnesses for global pure-state entanglements and can be generalized to states affected by low levels of noise.
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Asymptotic Performance of Port-Based Teleportation
TLDR
The fundamental limit on the performance of PBT is determined: for arbitrary fixed input dimension and a large number N of ports, the error of the optimal protocol is proportional to the inverse square of N .
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Stabilizer information inequalities from phase space distributions
TLDR
The von Neumann entropy of stabilizer states satisfies all balanced information inequalities that hold in the classical case and has a natural counterpart for multi-mode Gaussian states, which sheds some light on the general properties of the construction.
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Entanglement from Topology in Chern-Simons Theory
The way in which geometry encodes entanglement is a topic of much recent interest in quantum many-body physics and the AdS/CFT duality. This relation is particularly pronounced in the case of…
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Eigenvalue Distributions of Reduced Density Matrices
Given a random quantum state of multiple distinguishable or indistinguishable particles, we provide an effective method, rooted in symplectic geometry, to compute the joint probability distribution…
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