36 citations · 156 across the 25 of their papers we have counts for
14 papers · 1 filter
Theory of spacetime quantum fault tolerance
Yijia Xu, Yixu Wang, Zi-Wen Liu
We present a unified algebraic theory of Clifford spacetime quantum fault tolerance, which underpins universal fault-tolerant quantum computation. We construct a spacetime chain co…
Coherent error threshold for quantum LDPC codes
Zhengyi Han, Yuanchen Zhao, Yijia Xu +2
A key appeal of quantum low-density parity check (qLDPC) codes is their ability to suppress stochastic Pauli noise below nonzero thresholds. Coherent errors are fundamentally diffe…
Approximate quantum error correction theory of non-isometric codes
Yixu Wang, Yijia Xu, Zi-Wen Liu
Non-isometric encoding arises in various important contexts in quantum error correction, most notably in the finite-energy, non-ideal codewords inevitable in experimental realizati…
Bosonic Cyclic Codes: Trading Stabilizers for Gaussian Non-Clifford Phase Gates
Owen C. Wetherbee, Yijia Xu, Victor V. Albert +2
Bosonic codes offer hardware-efficient approaches to quantum error correction, with the best encodings offering effective protection of idle quantum information against loss and de…
A framework for low-overhead quantum fault tolerance via spacetime lifting
Yijia Xu, Yixu Wang, Zi-Wen Liu
Fault-tolerant quantum computation is inherently a spacetime problem, requiring not merely good static quantum error-correcting codes but also low-overhead protocols for protecting…
Letting the tiger out of its cage: bosonic coding without concatenation
Yijia Xu, Yixu Wang, Christophe Vuillot +1
Continuous-variable cat codes are encodings into a single photonic or phononic mode that offer a promising avenue for hardware-efficient fault-tolerant quantum computation. Protect…
Tessellation codes: encoded quantum gates by geometric rotation
Yixu Wang, Yijia Xu, Zi-Wen Liu
We utilize the symmetry groups of regular tessellations on two-dimensional surfaces of different constant curvatures, including spheres, Euclidean planes and hyperbolic planes, to…
Extracting topological orders of generalized Pauli stabilizer codes in two dimensions
Zijian Liang, Yijia Xu, Joseph T. Iosue +1
In this paper, we introduce an algorithm for extracting topological data from translation invariant generalized Pauli stabilizer codes in two-dimensional systems, focusing on the a…
Clifford operations and homological codes for rotors and oscillators
Yijia Xu, Yixu Wang, Victor V. Albert
We develop quantum information processing primitives for the planar rotor, the state space of a particle on a circle. By interpreting rotor wavefunctions as periodically identified…
Error-correcting codes for fermionic quantum simulation
Yu-An Chen, Alexey V. Gorshkov, Yijia Xu
Utilizing the framework of lattice gauge theories in the context of Pauli stabilizer codes, we present methodologies for simulating fermions via qubit systems on a t…
Qubit-oscillator concatenated codes: decoding formalism & code comparison
Yijia Xu, Yixu Wang, En-Jui Kuo +1
Concatenating bosonic error-correcting codes with qubit codes can substantially boost the error-correcting power of the original qubit codes. It is not clear how to concatenate opt…
Boson Sampling for Generalized Bosons
En-Jui Kuo, Yijia Xu, Dominik Hangleiter +2
We introduce the notion of "generalized bosons" whose exchange statistics resemble those of bosons, but the local bosonic commutator is replaced by an arbitra…
Equivalence between fermion-to-qubit mappings in two spatial dimensions
Yu-An Chen, Yijia Xu
We argue that all locality-preserving mappings between fermionic observables and Pauli matrices on a two-dimensional lattice can be generated from the exact bosonization in Ref. [1…
Efficient Product Formulas for Commutators and Applications to Quantum Simulation
Yu-An Chen, Andrew M. Childs, Mohammad Hafezi +3
We construct product formulas for exponentials of commutators and explore their applications. First, we directly construct a third-order product formula with six exponentials by so…