A model of discrete quantum computing is presented in details. The model is proved for two-qubit discrete quantum gates. We investigate discrete quantum gates of more than two qubits. In order to develop the model to apply to n-qubit systems, we need to study the complexity of the states and the gates. Frankly it is very complicated to study the complexity of discrete quantum states, because they grow exponentially. We deffine some general simple arbitrary states to facilitate studying the complexity of disceret quantum states
Quantum algorithms and complexity for certain continuous and related discrete problem
We present geometric methods for uniformly discretizing the continuous N-qubit Hilbert space HN. Whe...
We analyze the complexity of learning n-qubit quantum phase states. A degree-d phase state is define...
This dissertation is a study of several aspects of discrete time quantum control. After reviewing th...
We define the algorithmic complexity of a quantum state relative to a given precision parameter, and...
The dynamics of quantum states underlies the emergence of thermodynamics and even recent theories of...
We give a denition for the Kolmogorov com-plexity of a pure quantum state. In classical in-formation...
This thesis consists of two parts. The main part is concerned with new schemes for measurement-based...
A discrete quantum process is defined as a sequence of local states ρt , t = 0, 1, 2, . . ., satisfy...
In this paper, a survey of Kolmogorov complexity is reported. The basics are briefly covered to give...
Communicated by O. Watanabe Deutsch proposed two sorts of models of quantum computers, quantum Turin...
Unitary operations are the building blocks of quantum programs. Our task is to design effcient or op...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019Cataloged from...
We study a complexity model of quantum circuits analogous to the standard (acyclic) Boolean circuit ...
We give a simple proof of a formula for the minimal time required to simulate a two-qubit unitary op...
Quantum algorithms and complexity for certain continuous and related discrete problem
We present geometric methods for uniformly discretizing the continuous N-qubit Hilbert space HN. Whe...
We analyze the complexity of learning n-qubit quantum phase states. A degree-d phase state is define...
This dissertation is a study of several aspects of discrete time quantum control. After reviewing th...
We define the algorithmic complexity of a quantum state relative to a given precision parameter, and...
The dynamics of quantum states underlies the emergence of thermodynamics and even recent theories of...
We give a denition for the Kolmogorov com-plexity of a pure quantum state. In classical in-formation...
This thesis consists of two parts. The main part is concerned with new schemes for measurement-based...
A discrete quantum process is defined as a sequence of local states ρt , t = 0, 1, 2, . . ., satisfy...
In this paper, a survey of Kolmogorov complexity is reported. The basics are briefly covered to give...
Communicated by O. Watanabe Deutsch proposed two sorts of models of quantum computers, quantum Turin...
Unitary operations are the building blocks of quantum programs. Our task is to design effcient or op...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019Cataloged from...
We study a complexity model of quantum circuits analogous to the standard (acyclic) Boolean circuit ...
We give a simple proof of a formula for the minimal time required to simulate a two-qubit unitary op...
Quantum algorithms and complexity for certain continuous and related discrete problem
We present geometric methods for uniformly discretizing the continuous N-qubit Hilbert space HN. Whe...
We analyze the complexity of learning n-qubit quantum phase states. A degree-d phase state is define...