4 papers
Approximate quantum error correction theory of non-isometric codes
Yixu Wang, Yijia Xu, Zi-Wen Liu
Non-isometric encoding arises in various important contexts in quantum error correction, most notably in the finite-energy, non-ideal codewords inevitable in experimental realizati…
A framework for low-overhead quantum fault tolerance via spacetime lifting
Yijia Xu, Yixu Wang, Zi-Wen Liu
Fault-tolerant quantum computation is inherently a spacetime problem, requiring not merely good static quantum error-correcting codes but also low-overhead protocols for protecting…
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…
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…