67 citations · 164 across the 13 of their papers we have counts for
17 papers
Multi-Operator Quantum Uncertainty Relations from New Cauchy-Schwarz Inequalities
Samuel R. Hedemann
We present new generalizations of Cauchy-Schwarz (CS) inequalities to multiple vectors and use them to derive multi-operator quantum uncertainty relations and propose multi-operato…
Entanglement Universality of TGX States in Qubit-Qutrit Systems
Samuel R. Hedemann
We prove that all states (mixed or pure) of qubit-qutrit () systems have entanglement-preserving unitary (EPU) equivalence to a compact subset of true-generalized X (TGX…
Multipartite Mixed Maximally Entangled States: Mixed States with Entanglement 1
Samuel R. Hedemann
We present a full definition of mixed maximally entangled (MME) states for multipartite systems, generalizing their existing definition for bipartite systems by using multipartite…
Correlance and Discordance: Computable Measures of Nonlocal Correlation
Samuel R. Hedemann
We present six new measures of nonlocal correlation for discrete multipartite quantum systems; correlance, statance, probablance, strong discordance, discordance, and diagonal disc…
Optomechanical Entanglement of Remote Microwave Cavities
Samuel R. Hedemann, B. D. Clader
We examine the entanglement properties of a system that represents two driven microwave cavities each optomechanically coupled to two separate driven optical cavities which are con…
X States of the Same Spectrum and Entanglement as All Two-Qubit States
Samuel R. Hedemann
We present an explicit family of two-qubit X states with entanglement-preserving unitary (EPU) equivalence to the set of general states; that is, for any spectrum-entanglement comb…
Explicit Inverse Confluent Vandermonde Matrices with Applications to Exponential Quantum Operators
Samuel R. Hedemann
The Cayley-Hamilton problem of expressing functions of matrices in terms of only their eigenvalues is well-known to simplify to finding the inverse of the confluent Vandermonde mat…
Candidates for Universal Measures of Multipartite Entanglement
Samuel R. Hedemann
We propose and examine several candidates for universal multipartite entanglement measures. The most promising candidate for applications needing entanglement in the full Hilbert s…
Maximally entangled mixed states for qubit-qutrit systems
Paulo E. M. F. Mendonca, Marcelo A. Marchiolli, Samuel R. Hedemann
We consider the problems of maximizing the entanglement negativity of X-form qubit-qutrit density matrices with (i) a fixed spectrum and (ii) a fixed purity. In the first case, the…
Ent: A Multipartite Entanglement Measure, and Parameterization of Entangled States
Samuel R. Hedemann
A multipartite entanglement measure called the ent is presented and shown to be an entanglement monotone, with the special property of automatic normalization. Necessary and suffic…
Noise-Resistant Quantum Teleportation, Ansibles, and the No-Projector Theorem
Samuel R. Hedemann
A method is presented for achieving entanglement-free teleportation of a quantum state subject to any quantum noise. We apply this as a light-speed noise-resistant communicator, bu…
Distinguishing Coherent States from Phase-Mixed Coherent States with Only a Variable Beam Splitter and Single-Photon Detector, In Principle
Samuel R. Hedemann
It is generally assumed that on-off detectors with single-photon sensitivity cannot distinguish coherent states from phase-mixed coherent states without some form of quadrature-bas…
Crossover Between Non-Markovian and Markovian Dynamics Induced by a Hierarchical Environment
Tiantian Ma, Yusui Chen, Tian Chen +2
Non-Markovian evolution of an open quantum system can be induced by the memory effects of a reservoir. Although a reservoir with stronger memory effects may seem like it should cau…
Random-Unitary Depolarization Ensures the Correctability of All Quantum Channels
Samuel R. Hedemann
We prove that if any error channel has a Kraus decomposition that is simultaneously correctable and Hilbert-Schmidt (HS) complete, then the existence of Kraus sets with these prope…
Evidence that All States Are Unitarily Equivalent to X States of the Same Entanglement
Samuel R. Hedemann
Strong numerical evidence is presented suggesting that all two-qubit mixed states are equivalent to X states by a single entanglement-preserving unitary (EPU) transformation, so th…
Restoration of Quantum State in Dephasing Channel
Xinyu Zhao, Samuel R. Hedemann, Ting Yu
In this paper, we propose an explicit scheme to fully recover a multiple-qubit state subject to a phase damping noise. We establish the theoretical framework and the operational pr…
Hyperspherical Parameterization of Unitary Matrices
S. R. Hedemann
Unitary operators are essential to quantum mechanics, however for discrete systems larger than a qubit, it is difficult to express them in a self-contained way. This report present…