No-cloning of Orthogonal States in Composite Systems

Abstract

The no-cloning principle tells us that non-orthogonal quantum states cannot be cloned, but it does not tell us that orthogonal states can always be cloned. We suggest a situation where the cloning transformations are restricted, leading to a novel type of no-cloning principle. In the case of a composite system made of two subsystems: if the subsystems are only available one after the other then there are various cases when orthogonal states cannot be cloned. Surprising examples are given, which give a radically better insight regarding the basic concepts of quantum cryptography.

4 pages, RevTeX, to be published in PRL

References in corpus (1)

• Quantum Nonlocality without Entanglement

Cited by in corpus (27)

• Advances in Quantum Cryptography
• Quantum Nonlocality without Entanglement
• Quantum key distribution in the Holevo limit
• Quantum Key Distribution with Classical Bob
• Semi-Quantum Key Distribution
• Deterministic secure communication protocol without using entanglement
• Counterfactual Quantum Cryptography
• Optimal Cloning of Pure States, Judging Single Clones
• Quantum key distribution without alternative measurements
• Quantum Cloning Machines and the Applications
• Phase-covariant quantum cloning of qudits
• A novel quantum key distribution scheme with orthogonal product states
• Quantum key distribution via quantum encryption
• Two-step orthogonal-state-based protocol of quantum secure direct communication with the help of order-rearrangement technique
• The No-Broadcasting Theorem and its Classical Counterpart
• Broadcasting Quantum Fisher Information
• Efficient protocols for unidirectional and bidirectional controlled deterministic secure quantum communication: Different alternative approaches
• Direct quantum communication without actual transmission of the message qubits
• Composable security against collective attacks of a modified BB84 QKD protocol with information only in one basis
• Secure Quantum Communication with Orthogonal States
• Comment on "Quantum Key Distribution in the Holevo Limit"
• Quantum Candies and Quantum Cryptography
• Transferring elements of a density matrix
• Reply to Fahmi and Golshani's comment on "Quantum key distribution in the Holevo limit"
• No-cloning theorem for a single POVM
• Relativistic quantum protocols: "Bit Commitment" and "Coin Tossing"
• Quantum information and beyond -- with quantum candies