Papers
Live trends in quantum computing research, updated daily from arXiv.
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Hardware platform mentions in abstracts — Photonic leads
Implementing Clifford Gates on Stabilizer Codes via Measurement
D. Banfield, Heather Leitch, A. Kay·Oct 25, 2022
We describe a method to use measurements and correction operations in order to implement the Clifford group in a stabilizer code, generalising a result from [Bombin,2011] for topological subsystem colour codes. In subsystem stabilizer codes of distan...
Non-Abelian braiding of graph vertices in a superconducting processor
T. Andersen, Y. Lensky, K. Kechedzhi +166 more·Oct 19, 2022
A unitary protocol for braiding projective non-Abelian Ising anyons in a generalized stabilizer code is implemented on a superconducting processor, allowing for verification of their fusion rules and realization of their exchange statistics. Indistin...
Evolving quantum circuits
Daniel Tandeitnik, T. Guerreiro·Oct 11, 2022
We develop genetic algorithms for searching quantum circuits, in particular stabilizer quantum error correction codes. Quantum codes equivalent to notable examples such as the 5-qubit perfect code, Shor’s code and the 7-qubit color code are evolved o...
Quantum walks on random lattices: Diffusion, localization, and the absence of parametric quantum speedup
Rostislav Duda, Moein N. Ivaki, I. Sahlberg +2 more·Oct 11, 2022
Discrete-time quantum walks, quantum generalizations of classical random walks, provide a framework for quantum information processing, quantum algorithms and quantum simulation of condensed matter systems. The key property of quantum walks, which li...
Toward a quantum simulation of nonlinear sigma models with a topological term
Jack Y. Araz, S. Schenk, M. Spannowsky·Oct 7, 2022
We determine the mass gap of a two-dimensional $O(3)$ nonlinear sigma model augmented with a topological $\theta$-term using tensor network and digital quantum algorithms. As proof of principle, we consider the example $\theta = \pi$ and study its cr...
Studying chirality imbalance with quantum algorithms
Alexander M. Czajka, Zhong-Bo Kang, Y. Tee +1 more·Oct 6, 2022
To describe the chiral magnetic effect, the chiral chemical potential µ 5 is introduced to imitate the impact of topological charge changing transitions in the quark-gluon plasma under the influence of an external magnetic field. We employ the (1+1) dim...
Quantum circuits for toric code and X-cube fracton model
Penghua Chen, B. Yan, Shawn X. Cui·Oct 4, 2022
We propose a systematic and efficient quantum circuit composed solely of Clifford gates for simulating the ground state of the surface code model. This approach yields the ground state of the toric code in ⌈2L+2+log2(d)+L2d⌉ time steps, where L refer...
Q3DE: A fault-tolerant quantum computer architecture for multi-bit burst errors by cosmic rays
Yasunari Suzuki, T. Sugiyama, T. Arai +3 more·Oct 1, 2022
Demonstrating small error rates by integrating quantum error correction (QEC) into an architecture of quantum computing is the next milestone towards scalable fault-tolerant quantum computing (FTQC). Encoding logical qubits with superconducting qubit...
Strings And Colorings Of Topological Coding Towards Asymmetric Topology Cryptography
Bing Yao, Chao Yang, Xia Liu +5 more·Sep 30, 2022
We, for anti-quantum computing, will discuss various number-based strings, such as number-based super-strings, parameterized strings, set-based strings, graph-based strings, integer-partitioned and integer-decomposed strings, Hanzi-based strings, as ...
Complexity-Theoretic Limitations on Quantum Algorithms for Topological Data Analysis
Alexander Schmidhuber, S. Lloyd·Sep 28, 2022
Quantum algorithms for topological data analysis (TDA) seem to provide an exponential advantage over the best classical approach while remaining immune to dequantization procedures and the data-loading problem. In this paper, we give complexity-theor...
Analyzing Prospects for Quantum Advantage in Topological Data Analysis
D. Berry, Yuan Su, Casper Gyurik +7 more·Sep 27, 2022
Lloyd et al. were first to demonstrate the promise of quantum algorithms for computing Betti numbers, a way to characterize topological features of data sets. Here, we propose, analyze, and optimize an improved quantum algorithm for topological data ...
A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits
Sam McArdle, András Gilyén, Mario Berta·Sep 26, 2022
Topological invariants of a dataset, such as the number of holes that survive from one length scale to another (persistent Betti numbers) can be used to analyze and classify data in machine learning applications. We present an improved quantum algori...
Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations.
M. Sajjan, H. Alaeian, S. Kais·Sep 23, 2022
In this work, we study the magnetic phases of a spatially modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique, we study various magnetic and topologically nontrivial phases using both single-par...
Topological Characterization with a Twist, Condensation, and Reflection
Tushar Pandey, E. Dumitrescu·Sep 22, 2022
Despite its putative robustness, the realization of and control over topological quantum matter is an ongoing grand challenge. Looking forward, robust characterization protocols are needed to first certify topological substrates before they are utili...
Cryogenic in-memory computing using magnetic topological insulators
Yuting Liu, Albert Lee, Kun Qian +14 more·Sep 20, 2022
Machine learning algorithms have proven to be effective for essential quantum computation tasks such as quantum error correction and quantum control. Efficient hardware implementation of these algorithms at cryogenic temperatures is essential. Here w...
Topological data analysis on noisy quantum computers
I. Akhalwaya, Shashanka Ubaru, K. Clarkson +6 more·Sep 19, 2022
Topological data analysis (TDA) is a powerful technique for extracting complex and valuable shape-related summaries of high-dimensional data. However, the computational demands of classical algorithms for computing TDA are exorbitant, and quickly bec...
Shortest Route to Non-Abelian Topological Order on a Quantum Processor.
Nathanan Tantivasadakarn, R. Verresen, A. Vishwanath·Sep 8, 2022
A highly coveted goal is to realize emergent non-Abelian gauge theories and their anyonic excitations, which encode decoherence-free quantum information. While measurements in quantum devices provide new hope for scalably preparing such long-range en...
Programmable photonic integrated meshes for modular generation of optical entanglement links
M. Dong, Matthew Zimmermann, David Heim +9 more·Aug 30, 2022
Large-scale generation of quantum entanglement between individually controllable qubits is at the core of quantum computing, communications, and sensing. Modular architectures of remotely-connected quantum technologies have been proposed for a variet...
Large-scale full-programmable quantum walk and its applications
Yizhi Wang, Yingwen Liu, Junwei Zhan +22 more·Aug 28, 2022
With photonics, the quantum computational advantage has been demonstrated on the task of boson sampling. Next, developing quantum-enhanced approaches for practical problems becomes one of the top priorities for photonic systems. Quantum walks are pow...
Topological phases of matter, Quantum Error Correction and Topological twist
Tushar Pandey·Aug 17, 2022
Unitary Modular Tensor Categories(UMTC) have a one-to-one correspondence with Topological Quantum Field Theories (TQFT). Different identifications have been made so far associating different physical particle types (anyons) to different UMTCs. Howeve...