.png){kind=icon}
Return
Simulating two-dimensional topological quantum phase transitions on a digital quantum computer
.png){kind=icon}
OA
AI
DOI：10.1103/PhysRevResearch.6.043256.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Efficient preparation of many-body ground states is key to harnessing the power of quantum computers in studying quantum many-body systems. In this work, we propose a simple method to design exact linear-depth parameterized quantum circuits which prepare a family of ground states across topological quantum phase transitions in 2D. We achieve this by constructing ground states represented by isometric tensor networks (isoTNS), which form a subclass of tensor network states that are efficiently preparable. By continuously tuning a parameter in the wavefunction, the many-body ground state undergoes quantum phase transitions, exhibiting distinct 2D quantum phases. We illustrate this by constructing an isoTNS path with bond dimension D = 2 interpolating between distinct symmetry-enriched topological (SET) phases. At the transition point, the wavefunction is related to a gapless point in the classical six-vertex model. Furthermore, the critical wavefunction supports a power-law correlation along one spatial direction while remaining long-range ordered in the other spatial direction. We provide an explicit parametrized local quantum circuit for the path and show that the 2D isoTNS can also be efficiently simulated by a holographic quantum algorithm requiring only an 1D array of qubits.
Journal
IF:
4.2
Papers:
7.6K
Citations:
2.7W
Organization
Cited Papers
Genomic organization and promoter characterization of FcCTL, a C-type lectin-like protein in Fenneropenaeus chinensis.png)
Gene
GeneIF0
PREAI
ShareSaveShareSaveShareSaveShareSaveShareSaveGreen synthesis of silver nanoparticles: characterization and determination of antibacterial potency
OAAI
OAAIShareSave
View more