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Universal quantum computing using symmetry-protected topologically ordered states
Yanzhu Chen, Abhishodh Prakash, Tzu-Chieh Wei
Measurement-based quantum computation describes a scheme where entanglement of resource states is utilized to simulate arbitrary quantum gates via local measurements. Recent works…
Phase transitions of a 2D deformed-AKLT model
Nicholas Pomata, Ching-Yu Huang, Tzu-Chieh Wei
We study spin-2 deformed-AKLT models on the square lattice, specifically a two-parameter family of -symmetric ground-state wavefunctions as defined by Niggemann, Klümper, and…
Eigenstate phases with finite on-site non-Abelian symmetry
Abhishodh Prakash, Sriram Ganeshan, Lukasz Fidkowski +1
We study the eigenstate phases of disordered spin chains with on-site finite non-Abelian symmetry. We develop a general formalism based on standard group theory to construct local…
Universal measurement-based quantum computation in two-dimensional SPT phases
Tzu-Chieh Wei, Ching-Yu Huang
Recent progress in characterization for gapped quantum phases has also triggered the search of universal resource for quantum computation in symmetric gapped phases. Prior works in…
Geometric Entanglement and Quantum Phase Transition in Generalized Cluster-XY models
Aydin Deger, Tzu-Chieh Wei
In this work, we investigate quantum phase transition (QPT) in a generic family of spin chains using the ground-state energy, the energy gap, and the geometric measure of entanglem…
Holographic encoding of universality in corner spectra
Ching-Yu Huang, Tzu-Chieh Wei, Roman Orus
In numerical simulations of classical and quantum lattice systems, 2d corner transfer matrices (CTMs) and 3d corner tensors (CTs) are a useful tool to compute approximate contracti…