Quantum information cannot be split into complementary parts

Abstract

We prove a new impossibility for quantum information (the no-splitting theorem): an unknown quantum bit (qubit) cannot be split into two complementary qubits. This impossibility, together with the no-cloning theorem, demonstrates that an unknown qubit state is a single entity, which cannot be cloned or split. This sheds new light on quantum computation and quantum information.

9 pages, 1 figure

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Cited by in corpus (13)

• Quantum Cloning Machines and the Applications
• Masking quantum information is impossible
• Information conservation is fundamental: recovering the lost information in Hawking radiation
• No partial erasure of quantum information
• Impossibility of Cloning of Quantum Coherence
• A note on superposition of two unknown states using Deutsch CTC model
• Activation of Nonmonogamous Multipartite Quantum States
• Some no-go results in Quantum Thermodynamics
• Broadcasting of correlations via orthogonal & non-orthogonal state dependent cloners
• Restrictions on shareability of classical correlations for random multipartite quantum states
• Probabilistic exact deletion and probabilistic no-signalling
• Quantum no-go theorems in causality respecting systems in presence of closed timelike curves: Tweaking the Deutsch condition
• Inseparability of Quantum Parameters