Isaac H. Kim
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View article: A Deep Learning-Based Model for Pneumonia Diagnosis through Chest X-ray Image Analysis
A Deep Learning-Based Model for Pneumonia Diagnosis through Chest X-ray Image Analysis Open
View article: Design and Implementation of a CBAM-Based Deep Learning Model for Effective Shadow Removal
Design and Implementation of a CBAM-Based Deep Learning Model for Effective Shadow Removal Open
View article: Experimental Demonstration of High-Fidelity Logical Magic States from Code Switching
Experimental Demonstration of High-Fidelity Logical Magic States from Code Switching Open
Preparation of high-fidelity logical magic states has remained as a necessary but daunting step towards building a large-scale fault-tolerant quantum computer. One approach is to fault-tolerantly prepare a magic state in one code and then …
View article: Catalytic $z$-rotations in constant $T$-depth
Catalytic $z$-rotations in constant $T$-depth Open
We show that the $T$-depth of any single-qubit $z$-rotation can be reduced to $3$ if a certain catalyst state is available. To achieve an $ε$-approximation, it suffices to have a catalyst state of size polynomial in $\log(1/ε)$. This impli…
View article: Code switching revisited: Low-overhead magic state preparation using color codes
Code switching revisited: Low-overhead magic state preparation using color codes Open
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-switching protocol with (1) a recently discovered transversal g…
View article: Domain walls from SPT-sewing
Domain walls from SPT-sewing Open
We introduce a systematic method for constructing gapped domain walls of topologically ordered systems by gauging a lower-dimensional symmetry-protected topological (SPT) order. Based on our construction, we propose a correspondence betwee…
View article: Source Codes for "Fault-Tolerant Quantum Error Correction via a Linear Array of Quantum Emitters"
Source Codes for "Fault-Tolerant Quantum Error Correction via a Linear Array of Quantum Emitters" Open
This includes the source codes necessary for the simulation of three-dimensional cluster state construction, specifically addressing quantum noise models. The simulations account for circuit-level noise, dephasing errors, and photon loss e…
View article: Code switching revisited: Low-overhead magic state preparation using color codes
Code switching revisited: Low-overhead magic state preparation using color codes Open
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 switching protocol with (i) a recently discovered transversal g…
View article: Geometric additivity of modular commutator for multipartite entanglement
Geometric additivity of modular commutator for multipartite entanglement Open
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 extract a topological invariant from a single wave function…
View article: Learning Shallow Quantum Circuits
Learning Shallow Quantum Circuits Open
Despite fundamental interests in learning quantum circuits, the existence of a computationally efficient algorithm for learning shallow quantum circuits remains an open question. Because shallow quantum circuits can generate distributions …
View article: The Cost of Entanglement Renormalization on a Fault-Tolerant Quantum Computer
The Cost of Entanglement Renormalization on a Fault-Tolerant Quantum Computer Open
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 which the target system is large. For probing a relatively l…
View article: Learning shallow quantum circuits
Learning shallow quantum circuits Open
Despite fundamental interests in learning quantum circuits, the existence of a computationally efficient algorithm for learning shallow quantum circuits remains an open question. Because shallow quantum circuits can generate distributions …
View article: Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction Open
We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation …
View article: Complementarity and the unitarity of the black hole S-matrix
Complementarity and the unitarity of the black hole S-matrix Open
A bstract Recently, Akers et al. proposed a non-isometric holographic map from the interior of a black hole to its exterior. Within this model, we study properties of the black hole S -matrix, which are in principle accessible to observers…
View article: Universal lower bound on topological entanglement entropy
Universal lower bound on topological entanglement entropy Open
Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an area law, with a constant correction term known as the topological entanglement entropy (TEE). In many models, the TEE takes a universal value that c…
View article: Qubit recycling and the path counting problem
Qubit recycling and the path counting problem Open
Recently, it was shown that the qudits used in circuits of a convolutional form (e.g., Matrix Product State sand Multi-scale Entanglement Renormalization Ansatz) can be reset unitarily \href{https://doi.org/10.1103/PhysRevA.103.042613}{[Ph…
View article: Measurement as a Shortcut to Long-Range Entangled Quantum Matter
Measurement as a Shortcut to Long-Range Entangled Quantum Matter Open
The preparation of long-range entangled states using unitary circuits is limited by Lieb-Robinson bounds, but circuits with projective measurements and feedback (“adaptive circuits”) can evade such restrictions. We introduce three classes …
View article: Modular Commutators in Conformal Field Theory
Modular Commutators in Conformal Field Theory Open
The modular commutator is a recently discovered entanglement quantity that quantifies the chirality of the underlying many-body quantum state. In this Letter, we derive a universal expression for the modular commutator in conformal field t…
View article: Complementarity and the unitarity of the black hole $S$-matrix
Complementarity and the unitarity of the black hole $S$-matrix Open
Recently, Akers et al. proposed a non-isometric holographic map from the interior of a black hole to its exterior. Within this model, we study properties of the black hole $S$-matrix, which are in principle accessible to observers who stay…
View article: Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction Open
We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation …
View article: Modular commutator in gapped quantum many-body systems
Modular commutator in gapped quantum many-body systems Open
In arXiv:2110.06932, we argued that the chiral central charge -- a\ntopologically protected quantity characterizing the edge theory of a gapped\n(2+1)-dimensional system -- can be extracted from the bulk by using an order\nparameter called…
View article: Measurement as a shortcut to long-range entangled quantum matter
Measurement as a shortcut to long-range entangled quantum matter Open
The preparation of long-range entangled states using unitary circuits is limited by Lieb-Robinson bounds, but circuits with projective measurements and feedback (``adaptive circuits'') can evade such restrictions. We introduce three classe…
View article: Low-overhead fault-tolerant quantum computing using long-range connectivity
Low-overhead fault-tolerant quantum computing using long-range connectivity Open
Vast numbers of qubits will be needed for large-scale quantum computing because of the overheads associated with error correction. We present a scheme for low-overhead fault-tolerant quantum computation based on quantum low-density parity-…
View article: Adaptive constant-depth circuits for manipulating non-abelian anyons
Adaptive constant-depth circuits for manipulating non-abelian anyons Open
We consider Kitaev's quantum double model based on a finite group $G$ and describe quantum circuits for (a) preparation of the ground state, (b) creation of anyon pairs separated by an arbitrary distance, and (c) non-destructive topologica…
View article: Chiral Central Charge from a Single Bulk Wave Function
Chiral Central Charge from a Single Bulk Wave Function Open
A (2+1)-dimensional gapped quantum many-body system can have a topologically protected energy current at its edge. The magnitude of this current is determined entirely by the temperature and the chiral central charge, a quantity associated…
View article: Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules
Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules Open
We estimate the resources required in the fusion-based quantum computing\nscheme to simulate electrolyte molecules in Li-ion batteries on a\nfault-tolerant, photonic quantum computer. We focus on the molecules that can\nprovide practical s…
View article: Fault-Tolerant Qubit from a Constant Number of Components
Fault-Tolerant Qubit from a Constant Number of Components Open
With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge overhe…
View article: Entropy scaling law and the quantum marginal problem: simplification and generalization
Entropy scaling law and the quantum marginal problem: simplification and generalization Open
Recently, we introduced a solution to the quantum marginal problem relevant to two-dimensional quantum many-body systems [I. H. Kim, Phys. Rev. X, 11, 021039]. One of the conditions was that the marginals are internally translationally inv…
View article: Recycling qubits in near-term quantum computers
Recycling qubits in near-term quantum computers Open
Quantum computers are capable of efficiently contracting unitary tensor\nnetworks, a task that is likely to remain difficult for classical computers.\nFor instance, networks based on matrix product states or the multi-scale\nentanglement r…
View article: Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules
Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules Open
We estimate the resources required in the fusion-based quantum computing scheme to simulate electrolyte molecules in Li-ion batteries on a fault-tolerant, photonic quantum computer. We focus on the molecules that can provide practical solu…