Quantum Gate Computation Using Random Qubit Rotation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current quantum homomorphic encryption schemes lack information-theoretic security and fail to support secure quantum gate computations, especially against weak measurement-based attacks, and require multiple stages of communication or specific gate capabilities.
Innovation Solution
A method employing random rotation of qubits to create orthogonal states for encryption, allowing for information-theoretically secure quantum gate computations and quantum key distribution with only two stages of communication, where one party can apply arbitrary quantum gates and the other only NOT gates, using a random basis encryption scheme.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum homomorphic encryption schemes are implemented, then quantum gate computations can be performed, but information-theoretic security is not achieved and vulnerability to weak measurement attacks remains
Solution Approach 1:
The patent changes the fundamental parameter of qubit representation from fixed computational basis states to randomly rotated bases. By applying random rotation angles θ and φ to generate encrypted bases, the system achieves information-theoretic security while making the quantum states immune to weak measurement attacks, as the random orientation prevents any fixed measurement strategy from succeeding
Solution Approach 2:
The patent applies preliminary random rotation to qubits before any computation or measurement occurs. This preliminary action of encrypting the quantum basis states ensures that subsequent weak measurement attempts fail, as the qubits are already oriented in random directions that prevent successful attacks
2Reliability
If multiple stages of communication are used for quantum key distribution, then security can be enhanced, but communication overhead and complexity increase
Solution Approach 1:
The patent merges the key distribution and computation encryption processes into a single unified protocol. By combining these functions and using the same random rotation mechanism for both key generation and state encryption, the system achieves high security with minimal communication stages, eliminating the need for separate key distribution phases
3Adaptability or versatility
If arbitrary quantum gates are applied to encrypted qubits, then computational versatility is improved, but maintaining information-theoretic security becomes more difficult
Solution Approach 1:
The patent creates a universal encryption framework based on random rotation that works with any quantum gate operation. The random basis encryption method is gate-agnostic, meaning it maintains information-theoretic security regardless of which quantum gates are applied, making the system both versatile and secure simultaneously
Solution Approach 2:
The patent introduces random rotation as an intermediary layer between the plaintext qubits and the computational operations. This intermediary encryption layer preserves security while allowing arbitrary gates to operate on the encrypted states, as the random basis transformation commutes with universal gate sets
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach provides fully compact, non-interactive, and perfectly secure homomorphic evaluation of NOT gates and modified Hadamard gates, securing entanglement and resisting weak measurement attacks, while reducing communication overhead and gate complexity.
Implementation Method 1
According to quantum law each qubit utilized could take a superposition of both 0 and 1. Thus, the number of computations that a quantum computer could undertake is 2n, where n is the number of qubits used.
Implementation Method 2
Qubits interact with each other via quantum entanglement. Particles that have interacted at some point retain a type of connection and can be entangled with each other in pairs, in a process known as correlation.
Implementation Method 3
A method employing random rotation of qubits to create orthogonal states for encryption, allowing for information-theoretically secure quantum gate computations and quantum key distribution
Data Source
AI summary
A computer implemented method for encoding bits by qubits to perform information-theoretically secure quantum gate computation, according to which pairs of quantum bits consisting of a first qubit as an encoding of “0” and a second qubit as an encoding of “1” are randomly selected, such that the first and second qubits are orthogonal to each other as quantum states and are interchanged by a NOT gate. Each qubit rotating to a desired initial direction and then each rotated qubit is further rotated to its antipodal direction by applying a quantum NOT or CNOT gate to the each rotated qubit, without any knowledge about the desired direction. A unitary gate is further applied over the qubits, using an ancillary |0 qubit that creates an equally weighted superposition of the qubits.