Add to ORKGWe prove tight Ω(n1/3) lower bounds on the quantum query complexity of the Collision and the Set Equality problems, provided that the size of the alphabet is large enough. We do this using the negative-weight adversary method. Thus, we reprove the result by Aaronson and Shi, as well as a more recent development by Zhandry.NRF (Natl Research Foundation, S’pore)Published versio
The collision problem is to decide whether a function X:{1,..,n}->{1,..,n} is one-to-one or two-to-o...
We prove a quantum query lower bound Ω(n(d+1)/(d+2)) for the problem of deciding whether an input st...
The polynomial and the adversary methods are the two main tools for proving lower bounds on query co...
The quantum adversary method is one of the most successful techniques for proving lower bounds on qu...
AbstractWe present two general methods for proving lower bounds on the query complexity of nonadapti...
International audienceWe present general methods for proving lower bounds on the query complexity of...
The polynomial method and the adversary method are the two main techniques to prove lower bounds on ...
AbstractWe propose a new method for proving lower bounds on quantum query algorithms. Instead of a c...
We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical...
The collision problem is to decide whether a function X: {1,..., n} → {1,..., n} is one-to-one or t...
We describe a method for upper bounding the quantum query complexity of certain boolean formula eval...
We present a new variant of the quantum adversary method. All adversary methods give lower bounds on...
We investigate query-to-communication lifting theorems for models related to the quantum adversary b...
Quantum complexity is a young research area of increasing importance. In spite of the scepticism of ...
, Abstract. We prove a very general lower bound technique for quantum and randomized query complexit...
The collision problem is to decide whether a function X:{1,..,n}->{1,..,n} is one-to-one or two-to-o...
We prove a quantum query lower bound Ω(n(d+1)/(d+2)) for the problem of deciding whether an input st...
The polynomial and the adversary methods are the two main tools for proving lower bounds on query co...
The quantum adversary method is one of the most successful techniques for proving lower bounds on qu...
AbstractWe present two general methods for proving lower bounds on the query complexity of nonadapti...
International audienceWe present general methods for proving lower bounds on the query complexity of...
The polynomial method and the adversary method are the two main techniques to prove lower bounds on ...
AbstractWe propose a new method for proving lower bounds on quantum query algorithms. Instead of a c...
We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical...
The collision problem is to decide whether a function X: {1,..., n} → {1,..., n} is one-to-one or t...
We describe a method for upper bounding the quantum query complexity of certain boolean formula eval...
We present a new variant of the quantum adversary method. All adversary methods give lower bounds on...
We investigate query-to-communication lifting theorems for models related to the quantum adversary b...
Quantum complexity is a young research area of increasing importance. In spite of the scepticism of ...
, Abstract. We prove a very general lower bound technique for quantum and randomized query complexit...
The collision problem is to decide whether a function X:{1,..,n}->{1,..,n} is one-to-one or two-to-o...
We prove a quantum query lower bound Ω(n(d+1)/(d+2)) for the problem of deciding whether an input st...
The polynomial and the adversary methods are the two main tools for proving lower bounds on query co...