Electing a leader in a synchronous ring
Journal of the ACM (JACM)
Symmetry breaking in distributed networks
Information and Computation
Elections in anonymous networks
Information and Computation
Computing Boolean functions on anonymous networks
Information and Computation
Computing on Anonymous Networks: Part I-Characterizing the Solvable Cases
IEEE Transactions on Parallel and Distributed Systems
Computing on Anonymous Networks: Part II-Decision and Membership Problems
IEEE Transactions on Parallel and Distributed Systems
A fast quantum mechanical algorithm for database search
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
SIAM Journal on Computing
Quantum vs. classical communication and computation
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Exponential separation of quantum and classical communication complexity
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Undecidability on quantum finite automata
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Computing anonymously with arbitrary knowledge
Proceedings of the eighteenth annual ACM symposium on Principles of distributed computing
Leader Election Problem on Networks in which Processor Identity Numbers Are Not Distinct
IEEE Transactions on Parallel and Distributed Systems
An O(nlog n) Unidirectional Algorithm for the Circular Extrema Problem
ACM Transactions on Programming Languages and Systems (TOPLAS)
A Distributed Algorithm for Minimum-Weight Spanning Trees
ACM Transactions on Programming Languages and Systems (TOPLAS)
Unconditional security in quantum cryptography
Journal of the ACM (JACM)
Discrete Mathematics
Secure multi-party quantum computation
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Distributed Algorithms
Quantum computation and quantum information
Quantum computation and quantum information
Two-way finite automata with quantum and classical states
Theoretical Computer Science - Natural computing
One-way probabilistic reversible and quantum one-counter automata
Theoretical Computer Science
Authentication of Quantum Messages
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
How to Convert the Flavor of a Quantum Bit Commitment
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
Proceedings of the 2nd International Workshop on Distributed Algorithms
Exponential algorithmic speedup by a quantum walk
Proceedings of the thirty-fifth 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
Local and global properties in networks of processors (Extended Abstract)
STOC '80 Proceedings of the twelfth annual ACM symposium on Theory of computing
Classical and Quantum Computation
Classical and Quantum Computation
A new protocol and lower bounds for quantum coin flipping
Journal of Computer and System Sciences - STOC 2001
Multiparty Quantum Coin Flipping
CCC '04 Proceedings of the 19th IEEE Annual Conference on Computational Complexity
Quantum Weak Coin-Flipping with Bias of 0.192
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Quantum Speed-Up of Markov Chain Based Algorithms
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Fast quantum byzantine agreement
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Quantum versus deterministic counter automata
Theoretical Computer Science
An Introduction to Quantum Computing
An Introduction to Quantum Computing
Quantum Walk Algorithm for Element Distinctness
SIAM Journal on Computing
Span-program-based quantum algorithm for evaluating formulas
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Exponential Separation of Quantum and Classical One-Way Communication Complexity
SIAM Journal on Computing
SIAM Journal on Computing
Optimal Quantum Strong Coin Flipping
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
Universal Blind Quantum Computation
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
Perfectly concealing quantum bit commitment from any quantum one-way permutation
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
What can be observed locally? round-based models for quantum distributed computing
DISC'09 Proceedings of the 23rd international conference on Distributed computing
Any AND-OR Formula of Size $N$ Can Be Evaluated in Time $N^{1/2+o(1)}$ on a Quantum Computer
SIAM Journal on Computing
Quantum one-way communication can be exponentially stronger than classical communication
Proceedings of the forty-third annual ACM symposium on Theory of computing
The computational power of the W And GHZ States
Quantum Information & Computation
SIAM Journal on Computing
Quantum Query Complexity of State Conversion
FOCS '11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
Optimal Bounds for Quantum Bit Commitment
FOCS '11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
Compression of View on Anonymous Networks—Folded View—
IEEE Transactions on Parallel and Distributed Systems
Hi-index | 0.00 |
This article gives a separation between quantum and classical models in pure (i.e., noncryptographic) computing abilities with no restriction on the amount of available computing resources, by considering the exact solvability of the leader election problem in anonymous networks, a celebrated unsolvable problem in classical distributed computing. The goal of the leader election problem is to elect a unique leader from among distributed parties. In an anonymous network, all parties with the same number of communication links are identical. It is well-known that no classical algorithm can exactly solve (i.e., in bounded time without error) the leader election problem in anonymous networks, even if the number of parties is given. This article devises a quantum algorithm that, if the number of parties is given, exactly solves the problem for any network topology in polynomial rounds with polynomial communication/time complexity with respect to the number of parties, when the parties are connected with quantum communication links and they have the ability of quantum computing. Our algorithm works even when only an upper bound of the number of parties is given. In such a case, no classical algorithm can solve the problem even under the zero-error setting, the setting in which error is not allowed but running time may be unbounded.