14 citations · 14 across the 8 of their papers we have counts for
9 papers
A group theoretic calculation of multi-invariants of some stabilizer states
Bartlomiej Czech, Yichen Feng, Jonathan Harper +1
We study multi-invariants---a multi-partite generalization of Renyi entropies---of simple stabilizer states, for an arbitrary replica symmetry group. We develop a group theoretic t…
Fun with Graph States: Nonlocal Bell Pairs and the Arf Invariant
Bartlomiej Czech, Yichen Feng, Xianlai Wu +1
We study inner products and partial amplitudes of graph states--a commonly employed class of quantum states, which are specified by graphs. We find that the magnitudes of these qua…
Holographic entropy inequalities pass the majorization test
Bartlomiej Czech, Yichen Feng, Xianlai Wu +1
Quantities computed by minimal cuts, such as entanglement entropies achievable by the Ryu-Takayanagi proposal in the AdS/CFT correspondence, are constrained by linear inequalities.…
Renormalization Group Is the Principle behind the Holographic Entropy Cone
Bartlomiej Czech, Sirui Shuai
We show that every holographic entropy inequality can be recast in the form: "some entanglement wedges reach deeper in the bulk than some other entanglement wedges." When the inequ…
Entropy Inequalities Constrain Holographic Erasure Correction
Bartlomiej Czech, Sirui Shuai, Yixu Wang
We interpret holographic entropy inequalities in terms of erasure correction. The non-saturation of an inequality is a necessary condition for certain schemes of holographic erasur…
Nesting is not Contracting
Bartlomiej Czech, Sirui Shuai
The default way of proving holographic entropy inequalities is the contraction method. It divides Ryu-Takayanagi (RT) surfaces on the `greater than' side of the inequality into seg…
Two infinite families of facets of the holographic entropy cone
Bartlomiej Czech, Yu Liu, Bo Yu
We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is tec…
Information recovery in the Hayden-Preskill protocol
Bartlomiej Czech, Sirui Shuai, Haifeng Tang
We revisit information retrieval from evaporating black holes in the Hayden-Preskill protocol, treating the black hole dynamics as Haar-random. We compute, down to the first expone…
Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting
Bartlomiej Czech, Sirui Shuai, Yixu Wang +1
We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities, which is based on entanglement wedge nesting…