8 citations · 8 across the 7 of their papers we have counts for
11 papers
Quantum Gibbs State Preparation via Relative Decoding: From Fast-Mixing Sources to Broader Target Classes
Zhong-Xia Shang, Yufei Wang, Daniel Stilck França
Provable guarantees for preparing quantum Gibbs states, such as rapid mixing or gapped coherent preparation paths, are known only for restricted Hamiltonian families and usually mu…
Optimal Tolerant Testing of Lindbladian Dissipation
Jinge Bao, Yiyi Cai, Zhong-Xia Shang
Quantifying dissipation is essential for controlling quantum noise and characterizing open-system dynamics. In practical experimental settings, residual noise may still persist des…
From Simple Sources to Quantum Advantage: Homomorphic Polynomial Transduction via Relative Decoding
Zhong-Xia Shang, Daniel Stilck França
Decoded quantum interferometry (DQI) and its Hamiltonian extension (HDQI) prepare states whose amplitudes are low-degree polynomials of an objective, using Fourier transforms and c…
A Simple Quantum Linear-System Solver via Dissipation
Zhong-Xia Shang
Dissipation has been recently demonstrated as a powerful primitive for designing quantum algorithms. We apply this viewpoint directly to linear-system solving, . We construct…
Hamiltonian dynamics from pure dissipation
Zhong-Xia Shang, Daniel Stilck França
The fundamental difference between closed and open quantum dynamics lies in their environmental interaction: closed systems are perfectly isolated and evolve reversibly under unita…
Fast-forwardable Lindbladians imply quantum phase estimation
Zhong-Xia Shang, Naixu Guo, Patrick Rebentrost +3
Quantum phase estimation (QPE) and Lindbladian dynamics are both foundational in quantum information science and central to quantum algorithm design. In this work, we bridge these…
Bra-ket entanglement, an indicator bridging entanglement, magic, and coherence
Zhong-Xia Shang, Si-Yuan Chen, Wenjun Yu +2
Understanding the intricate interplay between distinct quantum resources is a fundamental prerequisite for rigorously characterizing the boundary between classical and quantum tech…
Pauli quantum computing: as and as
Zhong-Xia Shang
We propose a new quantum computing formalism named Pauli quantum computing. In this formalism, we use the Pauli basis and on the non-diagonal blocks of density matrices to…
Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
Zhong-Xia Shang, Naixu Guo, Dong An +1
Solving linear ordinary differential equations (ODE) is one of the most promising applications for quantum computers to demonstrate exponential advantages. The challenge of designi…
Entanglement-induced exponential advantage in amplitude estimation via state matrixization
Zhong-Xia Shang, Qi Zhao
Estimating quantum amplitude, or the overlap between two quantum states, is a fundamental task in quantum computing and underpins numerous quantum algorithms. In this work, we intr…
Unconditionally decoherence-free quantum error mitigation by density matrix vectorization
Zhong-Xia Shang, Zi-Han Chen, Cai-Sheng Cheng
Fighting against noise is crucial for NISQ devices to demonstrate practical quantum applications. In this work, we give a new paradigm of quantum error mitigation based on the vect…