Geometry of quantum phase transitions
In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …
Kinematic approach to the mixed state geometric phase in nonunitary evolution
Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution Page 1
Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution DM Tong,1 E …
Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution DM Tong,1 E …
Adiabatic approximation in open quantum systems
We generalize the standard quantum adiabatic approximation to the case of open quantum
systems. We define the adiabatic limit of an open quantum system as the regime in which its …
systems. We define the adiabatic limit of an open quantum system as the regime in which its …
Geometric quantum gates that are robust against stochastic control errors
The realistic application of geometric quantum computation is crucially dependent on an
unproved robustness conjecture, claiming that geometric quantum gates are more resilient …
unproved robustness conjecture, claiming that geometric quantum gates are more resilient …
Consistency of the adiabatic theorem
We review the quantum adiabatic approximation for closed systems, and its recently
introduced generalization to open systems (MS Sarandy and DA Lidar, eprint quant …
introduced generalization to open systems (MS Sarandy and DA Lidar, eprint quant …
Experimental implementation of short-path nonadiabatic geometric gates in a superconducting circuit
XX Yang, LL Guo, HF Zhang, L Du, C Zhang, HR Tao… - Physical Review …, 2023 - APS
Nonadiabatic geometric quantum computation (NGQC) has attracted a lot of attention for
noise-resilient quantum control. However, previous implementations of NGQC require long …
noise-resilient quantum control. However, previous implementations of NGQC require long …
Comparison of the sensitivity to systematic errors between nonadiabatic non-Abelian geometric gates and their dynamical counterparts
SB Zheng, CP Yang, F Nori - Physical Review A, 2016 - APS
We investigate the effects of systematic errors of the control parameters on single-qubit
gates based on nonadiabatic non-Abelian geometric holonomies and those relying on …
gates based on nonadiabatic non-Abelian geometric holonomies and those relying on …
Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit
PZ Zhao, ZJZ Dong, ZX Zhang, GP Guo… - Science China Physics …, 2021 - Springer
Geometric phases are only dependent on evolution paths but independent of evolution
details so that they possess some intrinsic noise-resilience features. Based on different …
details so that they possess some intrinsic noise-resilience features. Based on different …
Critical property of the geometric phase in the Dicke model
G Chen, J Li, JQ Liang - Physical Review A—Atomic, Molecular, and Optical …, 2006 - APS
We obtain the ground-state energy level and associated geometric phase in the Dicke
model analytically by means of the Holstein-Primakoff transformation and the boson …
model analytically by means of the Holstein-Primakoff transformation and the boson …
Geometric phases in open systems: A model to study how they are corrected by decoherence
We calculate the geometric phase for an open system (spin-boson model) which interacts
with an environment (ohmic or nonohmic) at arbitrary temperature. However there have …
with an environment (ohmic or nonohmic) at arbitrary temperature. However there have …