This is evidence that mankind is capable of controlling and using quantum computers for computation, which is often compared to the first flight of the Wright brothers. Still, many issues remain to be resolved before practical problems can be solved....
From there, you can use the finite difference method to create a system of algebraic equations that can then be solved by using some of the quantum algorithms for solving the linear system of equations (HHL or VQLS.)When the Carleman linearization process was first successfully tested with ...
The choice of annealing schedule can have a dramatic impact on the performance of the computer. In this disclosure we provide a method for selecting and/or modifying the annealing schedule based on the problem to be solved.Juan Ignacio AdamePeter McMahon...
a quantum computer has the computational ability to find solutions to the cryptographic algorithms in use today. Cryptographic problems that use factoring are excellent examples of problems that can be solved with a quantum computer because both the input and output are ...
A central problem in quantum computing is to identify computational tasks which can be solved substantially faster on a quantum computer than on any classical computer. By studying the hardest such tasks, known as BQP-complete problems, we deepen our understanding of the power and limitations of ...
(opens in new tab). who showed that any quantum algorithm must make Ω\((\sqrt[]{n})\) queries to decide a monotone graph property. The conjectured answer was Ω(n), the best one could hope for as there are graph properties that can be solved with Ο(n) quantum q...
if an open LWE challenge problem was solved by a quantum computer, no one would be able to question the verification of the quantum advantage. (A classical simulator for pseudo-random quantum circuits as fast as Sycamore was proposed by Liu et al.7; hence, the proof of the quantum advantag...
In ak-SAT instance, one asks whether multiple clauses, each involvingkBoolean variables, can be satisfied simultaneously. Depending on the value ofk, the worst-case hardness is drastically different—while 3-SAT is NP-complete, 2-SAT can be efficiently solved in polynomial time (class P). In...
The team seized on graph partitioning and clustering as examples of practical and important optimization problems that can already be solved using quantum computers: a small graph problem can be solved directly on a QPU, while larger graph problems require hybrid quantum-classical approaches. ...
One of the main problems in general with combinatorial optmization problems after been solved by quantum computing algorithms is the visualization stage. For example in the portfolio optimization, after getting a string with zeros and ones, there is one step left and it is know if the solution...