Possible partner state of the 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Y</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2175</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>

Chen, Hua-Xing; Shen, C. P.; Zhu, Shi-Lin

doi:10.1103/physrevd.98.014011

Cited by 58 publications

(102 citation statements)

References 52 publications

(73 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Another interesting feature of the FQH fluids and CSLs is that the chiral gapless edge modes appear at the boundary of the system, and it leads to perfect heat conduction at the edge [11]. The edge states are described by the conformal field theories (CFT) which also characterize and hence have been employed to identify the topological order [12][13][14][15][16][17][18]. By solving the Kitaev model [19] on the star lattice (KSM), Yao and Kivelson showed the existence of the CSL as an exact ground state of local Hamiltonian and found Abelian and non-Abelian phases characterized by the topological degeneracies four and three on the torus, respectively [20,21].…”

mentioning

confidence: 99%

Abelian and non-Abelian chiral spin liquids in a compact tensor network representation

et al. 2020

View full text Add to dashboard Cite

We provide new insights into the Abelian and non-Abelian chiral Kitaev spin liquids on the star lattice using the recently proposed loop gas (LG) and string gas (SG) states [arXiv:1901.05786]. Those are compactly represented in the language of tensor network. By optimizing only one or two variational parameters, accurate ansatze are found in the whole phase diagram of the Kitaev model on the star lattice. In particular, the variational energy of the LG state becomes exact (within machine precision) at two limits in the model, and the criticality at one of those is analytically derived from the LG feature. It reveals that the Abelian CSLs are well demonstrated by the short-ranged LG while the non-Abelian CSLs are adiabatically connected to the critical LG where the macroscopic loops appear. Furthermore, by constructing the minimally entangled states and exploiting their entanglement spectrum and entropy, we identify the nature of anyons and the chiral edge modes in the non-Abelian phase with the Ising conformal field theory.

show abstract

mentioning

confidence: 99%

Abelian and non-Abelian chiral spin liquids in a compact tensor network representation

et al. 2020

View full text Add to dashboard Cite

show abstract

“…For example, by setting θ = π/2 and π/4 with the same γ = π and φ = 0, the NOT and Hadamard gates can be obtained, respectively. Note that the above processes can be identified as nonadiabatic holonomy transformations [15,21,23], since the evolution of logical-qubit subspace satisfies the parallel-transport condition, i.e.,…”

Section: Single-logical-qubit Holonomic Gatesmentioning

confidence: 99%

“…To speed up the quantum gate operation, nonadiabatic holonomic quantum computation (NHQC) [13,14] has been proposed to construct universal quantum gates. Then, various NHQC schemes have been proposed theoretically [15][16][17][18][19][20][21][22][23][24][25][26] and demonstrated experimentally in many systems [27][28][29][30][31][32][33][34][35][36][37][38]. However, because of the complexity of experimental manipulation and the intrinsic leakage of the encoded quantum information out of the logical-qubit basis, the experimental realization of high-fidelity universal NHQC, in particularly the nontrivial two-qubit gates, is very difficult.…”

Section: Introductionmentioning

confidence: 99%

Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice

Chen

Xue

2019

Phys. Rev. A

View full text Add to dashboard Cite

Geometric phase is an indispensable element for achieving robust and high-fidelity quantum gates due to its built-in noise-resilience feature. However, due to the complexity of manipulation and the intrinsic leakage of the encoded quantum information to non-logical-qubit basis, the experimental realization of universal nonadiabatic holonomic quantum computation is very difficult. Here, we propose to implement scalable nonadiabatic holonomic quantum computation with decoherence-free subspace encoding on a two-dimensional square superconducting transmon-qubit lattice, where only the two-body interaction of neighbouring qubits, from the simplest capacitive coupling, is needed. Meanwhile, we introduce qubit-frequency driving to achieve tunable resonant coupling for the neighbouring transmon qubits, and thus avoiding the leakage problem. In addition, our presented numerical simulation shows that high-fidelity quantum gates can be obtained, verifying the advantages of the robustness and scalability of our scheme. Therefore, our scheme provides a promising way towards the physical implementation of robust and scalable quantum computation.

show abstract

“…In GR, the QNM frequencies satisfy the black hole no-hair theorem. Recently, inspired by the direct detection of gravitational waves from binary mergers [29][30][31], many attempts have been made to test black holes or gravitational theories by using the ringings of black holes [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51]. This thus conceptualizes the field of black hole spectroscopy [52][53][54][55][56][57][58].…”

Section: Introductionmentioning

confidence: 99%

Eikonal black hole ringings in generalized energy-momentum squared gravity

Chen

2020

Phys. Rev. D

View full text Add to dashboard Cite

In the scope of black hole spectroscopy, several attempts have been made in the past decades in order to test black holes or gravitational theories via black hole quasinormal modes. In the eikonal approximation, the quasinormal modes are generically associated with the photon ring of the black hole. This correspondence is valid for most cases in general relativity, but may not be true in other theories of gravity. In this paper, we consider the generalized energy-momentum squared gravity in which matter fields are non-minimally coupled to geometry. We investigate the axial perturbations of the charged black holes in this model, without assuming any explicit expression of the action functional. After obtaining the modified Klein-Gordon equation and the modified Maxwell equations, we perturb the gravitational equations and the modified Maxwell equations to derive the coupled master equations of the axial perturbations. In the presence of the non-minimal coupling between matter and geometry, the correspondence between the eikonal quasinormal modes and the photon ring is not satisfied in general. Also, the two coupled fields of the axial perturbations are found to propagate independently and they do not share the same quasinormal frequencies in the eikonal limit.

show abstract

Possible partner state of the Y(2175)

Cited by 58 publications

References 52 publications

Abelian and non-Abelian chiral spin liquids in a compact tensor network representation

Abelian and non-Abelian chiral spin liquids in a compact tensor network representation

Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice

Eikonal black hole ringings in generalized energy-momentum squared gravity

Contact Info

Product

Resources

About