308 citations · 1.8k across the 76 of their papers we have counts for
13 papers · 2 filters
Domain walls from SPT-sewing
Yabo Li, Zijian Song, Aleksander Kubica +1
We introduce a systematic method for constructing gapped domain walls of topologically ordered systems by gauging a lower-dimensional symmetry-protected topological (SPT) order. Ba…
Learning State Preparation Circuits for Quantum Phases of Matter
Hyun-Soo Kim, Isaac H. Kim, Daniel Ranard
Many-body ground state preparation is an important subroutine used in the simulation of physical systems. In this paper, we introduce a flexible and efficient framework for obtaini…
Code switching revisited: Low-overhead magic state preparation using color codes
Lucas Daguerre, Isaac H. Kim
We propose a protocol to prepare a high-fidelity magic state on a two-dimensional (2D) color code using a three-dimensional (3D) color code. Our method modifies the known code swit…
On the energy barrier of hypergraph product codes
Guangqi Zhao, Andrew C. Doherty, Isaac H. Kim
A macroscopic energy barrier is a necessary condition for self-correcting quantum memory. In this paper, we prove tight bounds on the energy barrier applicable to any quantum code…
Geometric additivity of modular commutator for multipartite entanglement
Sung-Min Park, Isaac H. Kim, Eun-Gook Moon
A recent surge of research in many-body quantum entanglement has uncovered intriguing properties of quantum many-body systems. A prime example is the modular commutator, which can…
Non-unitary Coupled Cluster Enabled by Mid-circuit Measurements on Quantum Computers
Alexandre Fleury, James Brown, Erika Lloyd +2
Many quantum algorithms rely on a quality initial state for optimal performance. Preparing an initial state for specific applications can considerably reduce the cost of probabilis…
Classifying 2D topological phases: mapping ground states to string-nets
Isaac H. Kim, Daniel Ranard
We prove the conjectured classification of topological phases in two spatial dimensions with gappable boundary, in a simplified setting. Two gapped ground states of lattice Hamilto…
The Cost of Entanglement Renormalization on a Fault-Tolerant Quantum Computer
Joshua Job, Isaac H. Kim, Eric Johnston +1
We perform a detailed resource estimate for the prospect of using deep entanglement renormalization ansatz (DMERA) on a fault-tolerant quantum computer, focusing on the regime in w…
Strict area law implies commuting parent Hamiltonian
Isaac H. Kim, Ting-Chun Lin, Daniel Ranard +1
We show that in two spatial dimensions, when a quantum state has entanglement entropy obeying a strict area law, meaning for constants independent o…
Conformal geometry from entanglement
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
In a physical system with conformal symmetry, observables depend on cross-ratios, measures of distance invariant under global conformal transformations (conformal geometry for shor…
Chiral Virasoro algebra from a single wavefunction
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
Chiral edges of 2+1D systems can have very robust emergent conformal symmetry. When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a represent…
Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters
Jintae Kim, Jung Hoon Han, Isaac H. Kim
We propose a fault-tolerant quantum error correction architecture consisting of a linear array of emitters and delay lines. In our scheme, a resource state for fault-tolerant quant…
Learning shallow quantum circuits
Hsin-Yuan Huang, Yunchao Liu, Michael Broughton +4
Despite fundamental interests in learning quantum circuits, the existence of a computationally efficient algorithm for learning shallow quantum circuits remains an open question. B…