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The problem of discriminating among given nonorthogonal quantum states is underlying many of the schemes that have been suggested for quantum communication and quantum computing. However, quantum mechanics puts severe limitations on our ability to determine the state of a quantum system. In particular , nonorthogonal states cannot be discriminated… (More)

- Mark Hillery, M Suhail Zubairy
- Physical review letters
- 2006

We provide a class of inequalities whose violation shows the presence of entanglement in two-mode systems. We initially consider observables that are quadratic in the mode creation and annihilation operators and find conditions under which a two-mode state is entangled. Further examination allows us to formulate additional conditions for detecting… (More)

- Mark Hillery
- 2000

A quantum key distribution scheme based on the use of squeezed states is presented. The states are squeezed in one of two field quadrature components , and the value of the squeezed component is used to encode a character from an alphabet. The uncertainty relation between quadra-ture components prevents an eavesdropper from determining both with enough… (More)

- János A Bergou, Ulrike Herzog, Mark Hillery
- Physical review letters
- 2003

In quantum state filtering one wants to determine whether an unknown quantum state, which is chosen from a known set of states, [|psi(1)>, em leader,|psi(N)>], is either a specific state, say |psi(1)>, or one of the remaining states, [|psi(2)>, em leader,|psi(N)>]. We present the optimal solution to this problem, in terms of generalized measurements, for… (More)

- Vladimír R. Buzek, Mark Hillery
- QCQC
- 1998

We review our recent work on the universal (i.e. input state independent) optimal quantum copying (cloning) of qubits. We present unitary transformations which describe the optimal cloning of a qubit, and we present the corresponding quantum logic network. We also present a network for an optimal quantum copying " machine " (transformation) which produces N… (More)

- Mark Hillery
- 1998

We present the universal cloning transformation of states in arbitrary-dimensional Hilbert spaces. This unitary transformation attains the optimal fidelity of cloning as specified by Werner [Phys. Rev. A 58, 1827 (1998)]. With this cloning transformation, pure as well as impure states can be optimally copied, and the quality of the copies does not depend on… (More)

- Dominik F. Floess, Erika Andersson, Mark Hillery
- Mathematical Structures in Computer Science
- 2013

We show that for any Hilbert-space dimension, the optimal 1→2 universal quantum cloner can be constructed from essentially the same quantum circuit, i.e., we find a universal design for universal cloners. In the case of infinite dimensions ͑which includes continuous variable quantum systems͒ the universal cloner reduces to an essentially classical device.… (More)

- Mark Hillery, Jihane Mimih
- 2008

The problem of unambiguous state discrimination consists of determining which of a set of known quantum states a particular system is in. One is allowed to fail, but not to make a mistake. The optimal procedure is the one with the lowest failure probability. This procedure has been extended to bipartite states where the two parties, Alice and Bob, are… (More)