136 citations · 648 across the 15 of their papers we have counts for
15 papers
Quantum communication through devices with indefinite input-output direction
Zixuan Liu, Ming Yang, Giulio Chiribella
Certain quantum devices, such as half-wave plates and quarter-wave plates in quantum optics, are bidirectional, meaning that the roles of their input and output ports can be exchan…
Experimental demonstration of input-output indefiniteness in a single quantum device
Yu Guo, Zixuan Liu, Hao Tang +6
Quantum theory allows information to flow through a single device in a coherent superposition of two opposite directions, resulting into situations where the input-output direction…
Hamiltonian singular value transformation and inverse block encoding
Seth Lloyd, Bobak T. Kiani, David R. M. Arvidsson-Shukur +5
The quantum singular value transformation is a powerful quantum algorithm that allows one to apply a polynomial transformation to the singular values of a matrix that is embedded a…
Charge-conserving unitaries typically generate optimal covariant quantum error-correcting codes
Linghang Kong, Zi-Wen Liu
Quantum error correction and symmetries play central roles in quantum information science and physics. It is known that quantum error-correcting codes covariant with respect to con…
Quantum algorithm for nonlinear differential equations
Seth Lloyd, Giacomo De Palma, Can Gokler +5
Quantum computers are known to provide an exponential advantage over classical computers for the solution of linear differential equations in high-dimensional spaces. Here, we pres…
Quantum operations with indefinite time direction
Giulio Chiribella, Zixuan Liu
The fundamental dynamics of quantum particles is neutral with respect to the arrow of time. And yet, our experiments are not: we observe quantum systems evolving from the past to t…
Quantum polar decomposition algorithm
Seth Lloyd, Samuel Bosch, Giacomo De Palma +5
The polar decomposition for a matrix is , where is a positive Hermitian matrix and is unitary (or, if is not square, an isometry). This paper shows that the a…
Experimental quantification of coherence of a tunable quantum detector
Huichao Xu, Feixiang Xu, Thomas Theurer +5
Quantum coherence is a fundamental resource that quantum technologies exploit to achieve performance beyond that of classical devices. A necessary prerequisite to achieve this adva…
Benchmarking one-shot distillation in general quantum resource theories
Bartosz Regula, Kaifeng Bu, Ryuji Takagi +1
We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similar…
No-Go Theorems for Quantum Resource Purification
Kun Fang, Zi-Wen Liu
The manipulation of quantum "resources" such as entanglement, coherence and magic states lies at the heart of quantum science and technology, empowering potential advantages over c…
Resource theories of quantum channels and the universal role of resource erasure
Zi-Wen Liu, Andreas Winter
We initiate the systematic study of resource theories of quantum channels, i.e. of the dynamics that quantum systems undergo by completely positive maps, in abstracto: Resources ar…
One-Shot Operational Quantum Resource Theory
Zi-Wen Liu, Kaifeng Bu, Ryuji Takagi
A fundamental approach for the characterization and quantification of all kinds of resources is to study the conversion between different resource objects under certain constraints…
Quantifying the resource content of quantum channels: An operational approach
Lu Li, Kaifeng Bu, Zi-Wen Liu
We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task. A main result is…
Operational Advantage of Quantum Resources in Subchannel Discrimination
Ryuji Takagi, Bartosz Regula, Kaifeng Bu +2
One of the central problems in the study of quantum resource theories is to provide a given resource with an operational meaning, characterizing physical tasks in which the resourc…
When is a bit worth much more than kT ln2?
Can Gokler, Artemy Kolchinsky, Zi-Wen Liu +6
Physical processes thatobtain, process, and erase information involve tradeoffs between information and energy. The fundamental energetic value of a bit of information exchanged wi…