Suppose that a finite dimensional quantum source is known to have von Neumann entropy less than or equal to $S$ but is otherwise completely unspecified. We describe a method of universal quantum data compression which will faithfully compress the quantum information of any such source to $S$ qubits per signal (in the limit of large block lengths).Suppose that a finite dimensional quantum source is known to have von Neumann entropy less than or equal to $S$ but is otherwise completely unspecified. We describe a method of universal quantum data compression which will faithfully compress the quantum information of any such source to $S$ qubits per signal (in the limit of large block lengths).

arXiv:quant-ph/9805017Physical Review LettersAug 24, 199895 citations

Quantum Data Compression of a Qubit Ensemble

Lee A. Rozema, Dylan H. Mahler, Alex Hayat +2 more

Data compression is a ubiquitous aspect of modern information technology, and the advent of quantum information raises the question of what types of compression are feasible for quantum data, where it is especially relevant given the extreme difficulty involved in creating reliable quantum memories. We present a protocol in which an ensemble of quantum bits (qubits) can in principle be perfectly compressed into exponentially fewer qubits. We then experimentally implement our algorithm, compressing three photonic qubits into two. This protocol sheds light on the subtle differences between quantum and classical information. Furthermore, since data compression stores all of the available information about the quantum state in fewer physical qubits, it could allow for a vast reduction in the amount of quantum memory required to store a quantum ensemble, making even today's limited quantum memories far more powerful than previously recognized.Data compression is a ubiquitous aspect of modern information technology, and the advent of quantum information raises the question of what types of compression are feasible for quantum data, where it is especially relevant given the extreme difficulty involved in creating reliable quantum memories. We present a protocol in which an ensemble of quantum bits (qubits) can in principle be perfectly compressed into exponentially fewer qubits. We then experimentally implement our algorithm, compressing three photonic qubits into two. This protocol sheds light on the subtle differences between quantum and classical information. Furthermore, since data compression stores all of the available information about the quantum state in fewer physical qubits, it could allow for a vast reduction in the amount of quantum memory required to store a quantum ensemble, making even today's limited quantum memories far more powerful than previously recognized.

arXiv:1410.3941Physical Review LettersOct 17, 201458 citations

Reducing the Number of Qubits in Quantum Information Set Decoding

Clémence Chevignard, Pierre-Alain Fouque, André Schrottenloher

Lecture notes in computer scienceDec 11, 20247 citations

Suppose that a finite dimensional quantum source is known to have von Neumann entropy less than or equal to

S

but is otherwise completely unspecified. We describe a method of universal quantum data compression which will faithfully compress the quantum information of any such source to

S

qubits per signal (in the limit of large block lengths).