A single quantum cannot be cloned
By W. Wootters, Wojciech H. Zurek. 1982
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Feihu Xu
- Gregg Jaeger
- Xiongfeng Ma
- H. Häffner
- Stefano Pirandola
- Valerio Scarani
- Bob Coecke
- Xingyuan Xu
Citations in the corpus
- Causality for Machine Learning (2019, background): “A purely digital good can be copied at essentially zero cost (Brynjolfsson et al., 2019), unless we move into the quantum world (Wootters and Zurek, 1982).”
- Quantum Information and Relativity Theory (2002, background): “One of these proposals (Herbert, 1981) looked reasonably serious and arose enough interest to lead to investigations disproving this possibility (Glauber, 1986) and in particular to the discovery of the no-cloning theorem (Wootters and Zurek, 1982; Dieks, 1982).”
- Direct measurement of the quantum wavefunction (2011, background): “Indeed, it is impossible to determine a completely unknown wavefunction of single system [20].”
- Physical one-way functions (2001, methodology): “The formal proof of impossibility [4] is provided by an amazingly simple quantum no-cloning theorem.”
- Advances in quantum cryptography (2019, unknown): “The no-cloning theorem [19, 20] does not apply to this case.”
- Quantum teleportation over 143 kilometres using active feed-forward (2012, methodology): “By using quantum teleportation, one can circumvent the no-cloning theorem [5] and faithfully transfer unknown quantum states to a party whose location is even unknown over arbitrary distances.”
- Jerusalem Lectures on Black Holes and Quantum Information (2014, background): “47 The ability to send and receive quantum information is significantly hampered by the “no-cloning” theorem of quantum mechanics [51, 52].”
- Evidence for the epistemic view of quantum states: A toy theory (2004, background): “We begin by reviewing this theorem in the context of the ontic view of quantum states [44, 45].”
- Interacting quantum observables: categorical algebra and diagrammatics (2009, background): “We now explain how conceptual analysis leads to this algebraic structure, via a contrapositive of the no-cloning theorem [31, 77].”
- Machine learning \& artificial intelligence in the quantum domain (2017, background): “Such quintessential quantum properties, such as the fact that even pure states cannot be perfectly copied (Wootters and Zurek, 1982), are often argued to be at the heart of many quantum applications, such as cryptography.”
- Quantum measurements without sums (2006, background): “We moreover expose an intriguing conceptual and structural connection between the classical capabilities to copy and delete data, as compared to quantum [27, 34], and the mechanism of quantum measurement.”