Papers
Live trends in quantum computing research, updated daily from arXiv.
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Invariant Theory, Magic State Distillation, and Bounds on Classical Codes
Amolak Ratan Kalra, Shiroman Prakash·Jan 17, 2025
We show that the physical consistency of magic state distillation imposes new constraints on the weight enumerators of classical error-correcting codes. We establish that for $|T\rangle$-state distillation protocols based on linear self-orthogonal $G...
Quantum signal processing without angle finding
Abhijeet Alase·Jan 13, 2025
Quantum signal processing (QSP) has emerged as a unifying subroutine in quantum algorithms. In QSP, we are given a function $f$ and a unitary black-box $U$, and the goal is to construct a quantum circuit for implementing $f(U)$ to a given precision. ...
Characterizing the Burst Error Correction Ability of Quantum Cyclic Codes
Jihao Fan, Min-Hsiu Hsieh·Jan 8, 2025
Quantum burst error correction codes (QBECCs) are of great importance to deal with the memory effect in quantum channels. As the most important family of QBECCs, quantum cyclic codes (QCCs) play a vital role in the correction of burst errors. In this...
Quantum $(r,δ)$-locally recoverable codes
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz +1 more·Dec 21, 2024
Classical $(r,δ)$-locally recoverable codes are designed for avoiding loss of information in large scale distributed and cloud storage systems. We introduce the quantum counterpart of those codes by defining quantum $(r,δ)$-locally recoverable codes ...
Quantum Wave Simulation with Sources and Loss Functions
Cyrill Bosch, Malte Schade, Giacomo Aloisi +2 more·Nov 26, 2024
We present a quantum algorithmic framework for simulating linear, anti-Hermitian (lossless) wave equations in heterogeneous, anisotropic, and time-independent media. This framework encompasses a broad class of wave equations, including the acoustic w...
The weight hierarchy of decreasing norm-trace codes
Eduardo Camps-Moreno, Hiram H. L'opez, Gretchen L. Matthews +1 more·Nov 20, 2024
The Generalized Hamming weights and their relative version, which generalize the minimum distance of a linear code, are relevant to numerous applications, including coding on the wire-tap channel of type II, t-resilient functions, bounding the cardin...
Mixed-State Topological Order under Coherent Noises
Seunghun Lee, Eun-Gook Moon·Nov 5, 2024
Mixed-state phases of matter under local decoherence have recently garnered significant attention due to the ubiquitous presence of noise in current quantum processors. One of the key issues is understanding how topological quantum memory is affected...
Fast-forwarding quantum algorithms for linear dissipative differential equations
Dong An, Akwum Onwunta, Gengzhi Yang·Oct 17, 2024
We establish improved complexity estimates of quantum algorithms for linear dissipative ordinary differential equations (ODEs) and show that the time dependence can be fast-forwarded to be sub-linear. Specifically, we show that a quantum algorithm ba...
Quantum computational complexity of matrix functions
Santiago Cifuentes, Samson Wang, T. L. Silva +2 more·Oct 17, 2024
We investigate the dividing line between classical and quantum computational power in estimating properties of matrix functions. More precisely, we study the computational complexity of two primitive problems: given a function $f$ and a Hermitian mat...
Generalization of Modular Spread Complexity for Non-Hermitian Density Matrices
Aneek Jana, Maitri Ganguli·Oct 7, 2024
In this work we generalize the concept of modular spread complexity to the cases where the reduced density matrix is non-Hermitian. This notion of complexity and associated Lanczos coefficients contain richer information than the pseudo-entropy, whic...
Effect of noise on quantum circuit realization of non-Hermitian time crystals
Weihua Xie, Michael H. Kolodrubetz, Vadim Oganesyan·Sep 9, 2024
Non-Hermitian quantum dynamics lie in an intermediate regime between unitary Hamiltonian dynamics and trace-preserving non-unitary open quantum system dynamics. Given differences in the noise tolerance of unitary and non-unitary dynamics, it is inter...
Quantum Advantage via Efficient Postprocessing on Qudit Classical Shadow Tomography.
Yu Wang·Aug 29, 2024
Computing inner products of the form tr(AB), where A is a d-dimensional density matrix [with tr(A)=1, A≥0] and B is a bounded-norm observable [Hermitian with tr(B^{2})≤O[poly(logd)] and tr(B) known], is fundamental across quantum science and artifici...
Non-iterative disentangled unitary coupled-cluster based on lie-algebraic structure
Mohammad Haidar, Olivier Adjoua, Siwar Badreddine +2 more·Aug 26, 2024
Due to their non-iterative nature, fixed unitary coupled cluster (UCC) ansätze are attractive for performing quantum chemistry variational quantum eigensolver (VQE) computations as they avoid pre-circuit measurements on a quantum computer. However, a...
Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations
Yizhi Shen, Niel Van Buggenhout, Daan Camps +2 more·Aug 14, 2024
Rational functions are exceptionally powerful tools in scientific computing, yet their abilities to advance quantum algorithms remain largely untapped. In this paper, we introduce effective implementations of rational transformations of a target oper...
Computing Riemann zeros with light scattering
Sunkyu Yu, Xianji Piao, N. Park·Aug 2, 2024
Finding hidden order within disorder is a common interest in material science, wave physics, and mathematics. The Riemann hypothesis, stating the locations of nontrivial zeros of the Riemann zeta function, tentatively characterizes statistical order ...
The geometry of the Hermitian matrix space and the Schrieffer--Wolff transformation
Gergő Pintér, György Frank, Dániel Varjas +1 more·Jul 15, 2024
In quantum mechanics, the Schrieffer--Wolff (SW) transformation (also called quasi-degenerate perturbation theory) is known as an approximative method to reduce the dimension of the Hamiltonian. We present a geometric interpretation of the SW transfo...
Variational quantum imaginary time evolution for matrix product state Ansatz with tests on transcorrelated Hamiltonians.
Hao-En Li, Xiang Li, Jiachen Huang +5 more·Jul 15, 2024
The matrix product state (MPS) Ansatz offers a promising approach for finding the ground state of molecular Hamiltonians and solving quantum chemistry problems. Building on this concept, the proposed technique of quantum circuit MPS (QCMPS) enables t...
Simulating the non-Hermitian dynamics of financial option pricing with quantum computers
Swagat Kumar, C. Wilmott·Jul 1, 2024
The Schrödinger equation describes how quantum states evolve according to the Hamiltonian of the system. For physical systems, we have it that the Hamiltonian must be a Hermitian operator to ensure unitary dynamics. For anti-Hermitian Hamiltonians, t...
On the Continuity of Schur-Horn Mapping
Hengzhun Chen, Yingzhou Li·Jun 30, 2024
The Schur-Horn theorem is a well-known result that characterizes the relationship between the diagonal elements and eigenvalues of a symmetric (Hermitian) matrix. In this paper, we extend this theorem by exploring the eigenvalue perturbation of a sym...
Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
Yuxuan Zhang, J. Carrasquilla, Yong Baek Kim·Jun 21, 2024
Quantum computers have long been anticipated to excel in simulating quantum many-body physics. In this work, we demonstrate the power of variational quantum circuits for resource-efficient simulations of dynamical and equilibrium physics in non-Hermi...