Nonorthogonal Quantum States Maximize Classical Information Capacity

Abstract

I demonstrate that, rather unexpectedly, there exist noisy quantum channels for which the optimal classical information transmission rate is achieved only by signaling alphabets consisting of nonorthogonal quantum states.

5 pages, REVTeX, mild extension of results, much improved presentation, to appear in Physical Review Letters

Cited by in corpus (48)

• Quantum Computers and Quantum Coherence
• The Evolution of Quantum Secure Direct Communication: On the Road to the Qinternet
• Bipartite maximally entangled nonorthorgonal states
• Quantum Computing: Pro and Con
• Multipartite entangled coherent states
• Experimental realization of optimal detection strategies for overcomplete states
• Witnessing entanglement sequentially: Maximally entangled states are not special
• Distinguishing between optical coherent states with imperfect detection
• Maximization of capacity and p-norms for some product channels
• Sequential projective measurements for channel decoding
• Notes on a Paulian Idea: Foundational, Historical, Anecdotal and Forward-Looking Thoughts on the Quantum
• Maximal entanglement of nonorthogonal states: classification
• Dynamics of entanglement for coherent excitonic states in a system of two coupled quantum dots and cavity QED
• Maximal output purity and capacity for asymmetric unital qudit channels
• Multi-copy adaptive local discrimination: Strongest possible two-qubit nonlocal bases
• On quantum channels
• Capacity of Quantum Channels Using Product Measurements
• My Struggles with the Block Universe
• Qubit Channels Can Require More Than Two Inputs to Achieve Capacity
• An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices
• Qubit channels that achieve capacity with two states
• Multipartite quantum correlations in even and odd spin coherent states
• Quantum teleportation using non-orthogonal entangled channels
• Entanglement in Three Coupled Harmonic Oscillators
• Some Open Problems in Quantum Information Theory
• Entanglement in Coupled Harmonic Oscillators via Unitary Transformation
• Classical information deficit and monotonicity on local operations
• On 1-qubit channels
• Efficient accessible bounds to the classical capacity of quantum channels
• Just Two Nonorthogonal Quantum States
• Ideas Abandoned en Route to QBism
• Entanglement of electrons in interacting molecules
• Effects of imperfect noise correlations on decoherence-free subsystems: SU(2) diffusion model
• Sending classical information through relativistic quantum channels
• Minimal Entropy of States Emerging from Noisy Quantum Channels
• Heralded Channel Holevo Superadditivity Bounds from Entanglement Monogamy
• Experimental Lower Bounds to the Classical Capacity of Quantum Channels
• Purity Temperature Dependent for Coupled Harmonic Oscillators
• Bounding the Classical Capacity of Multilevel Damping Quantum Channels
• Unified scheme for correlations using linear relative entropy
• Entanglement-Enhanced Classical Communication
• Entangled Phase States via Quantum Beam Splitter
• Entropy of quantum channel in the theory of quantum information
• A Characterization of Completely-Positive Trace-Preserving Maps on 2x2 Matrices
• Bipartite Entanglement of Deformed Coherent States
• Witnessing latent time correlations with a single quantum particle
• Better transmission with lower capacity: lossy compression over quantum channels
• Analysis of the Entanglement Cost and Calculation of the Holevo Capacity