Elements of information theory
Elements of information theory
Quantum circuits with mixed states
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Quantum vs. classical communication and computation
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Dense quantum coding and a lower bound for 1-way quantum automata
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Quantum automata and quantum grammars
Theoretical Computer Science
Interaction in quantum communication and the complexity of set disjointness
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
On the power of quantum finite state automata
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
1-way quantum finite automata: strengths, weaknesses and generalizations
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Optimal Lower Bounds for Quantum Automata and Random Access Codes
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Communication Complexity Lower Bounds by Polynomials
CCC '01 Proceedings of the 16th Annual Conference on Computational Complexity
Lower bounds for quantum computation and communication
Lower bounds for quantum computation and communication
Polynomial time quantum computation with advice
Information Processing Letters
A probabilistic model of computing with words
Journal of Computer and System Sciences
Quantum versus deterministic counter automata
Theoretical Computer Science
Quantum Information and the PCP Theorem
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Limits on the ability of quantum states to convey classical messages
Journal of the ACM (JACM)
Determination of equivalence between quantum sequential machines
Theoretical Computer Science
Quantum inductive inference by finite automata
Theoretical Computer Science
Determining the equivalence for one-way quantum finite automata
Theoretical Computer Science
Improved Constructions of Quantum Automata
Theory of Quantum Computation, Communication, and Cryptography
Improved constructions of quantum automata
Theoretical Computer Science
Short seed extractors against quantum storage
Proceedings of the forty-first annual ACM symposium on Theory of computing
Note: A note on quantum sequential machines
Theoretical Computer Science
A property of quantum relative entropy with an application to privacy in quantum communication
Journal of the ACM (JACM)
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
Unbounded-error classical and quantum communication complexity
ISAAC'07 Proceedings of the 18th international conference on Algorithms and computation
A full characterization of quantum advice
Proceedings of the forty-second ACM symposium on Theory of computing
Near-optimal extractors against quantum storage
Proceedings of the forty-second ACM symposium on Theory of computing
Recognizing well-parenthesized expressions in the streaming model
Proceedings of the forty-second ACM symposium on Theory of computing
Postselection finite quantum automata
UC'10 Proceedings of the 9th international conference on Unconventional computation
Behaviours of Unary Quantum Automata
Fundamenta Informaticae - Non-Classical Models of Automata and Applications
On the power of lower bound methods for one-way quantum communication complexity
ICALP'11 Proceedings of the 38th international colloquim conference on Automata, languages and programming - Volume Part I
Short Seed Extractors against Quantum Storage
SIAM Journal on Computing
Entangled Games Are Hard to Approximate
SIAM Journal on Computing
Characterizations of one-way general quantum finite automata
Theoretical Computer Science
Varieties generated by certain models of reversible finite automata
COCOON'06 Proceedings of the 12th annual international conference on Computing and Combinatorics
Languages recognizable by quantum finite automata
CIAA'05 Proceedings of the 10th international conference on Implementation and Application of Automata
Certifiable quantum dice: or, true random number generation secure against quantum adversaries
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
State succinctness of two-way finite automata with quantum and classical states
Theoretical Computer Science
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We consider the possibility of encoding m classical bits into many fewer n quantum bits (qubits) so that an arbitrary bit from the original m bits can be recovered with good probability. We show that nontrivial quantum codes exist that have no classical counterparts. On the other hand, we show that quantum encoding cannot save more than a logarithmic additive factor over the best classical encoding. The proof is based on an entropy coalescence principle that is obtained by viewing Holevo's theorem from a new perspective.In the existing implementations of quantum computing, qubits are a very expensive resource. Moreover, it is difficult to reinitialize existing bits during the computation. In particular, reinitialization is impossible in NMR quantum computing, which is perhaps the most advanced implementation of quantum computing at the moment. This motivates the study of quantum computation with restricted memory and no reinitialization, that is, of quantum finite automata. It was known that there are languages that are recognized by quantum finite automata with sizes exponentially smaller than those of corresponding classical automata. Here, we apply our technique to show the surprising result that there are languages for which quantum finite automata take exponentially more states than those of corresponding classical automata.