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Quantum Robot Analysis and entanglement

Quantum Robot Analysis and entanglement. Classic Braitenberg. Fear. Aggression. A. B. H. P. Q. Programmable Braitenberg. Ultrasonic Sensor. A = Left Light Sensor. B = Right Light Sensor. Circuit Implemented by Program. Q = Motor for Right Wheel. P = Motor for Left Wheel.

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Quantum Robot Analysis and entanglement

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  1. Quantum Robot Analysis and entanglement

  2. Classic Braitenberg Fear Aggression

  3. A B H P Q Programmable Braitenberg Ultrasonic Sensor A = Left Light Sensor B = Right Light Sensor Circuit Implemented by Program Q = Motor for Right Wheel P = Motor for Left Wheel Sound/Touch Sensor

  4. 00 01 10 11 00 01 10 11 00 01 10 11 00 01 10 11 00 01 10 11 00 01 10 11 00 00 00 00 00 00 01 01 01 01 01 01 1 10 10 10 10 10 10 √2 11 11 11 11 11 11 A P H Q B 1 0 1 0 0 1 0 1 0 1 0 -1 1 0 -1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 Selected Circuits Feynman Gate Direct Connection Swap Gate A A A P P P Q Q Q B B B Identity Matrix Feynman+Swap Einstein-Podolsky-Rosen And-OR Gates A A P P Q Q B B

  5. Representing Gates via Matrices Input Output

  6. 00 01 10 11 00 01 10 11 00 00 01 01 10 10 11 11 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 Using Binary Gates Feynman Gate And-OR Gates A A P P Q B Q B This behavior is deterministic because it can be determined how the robot will react to a given input.

  7. Using Quantum Gates Hadamard Hadamard Input A=0 Output A = P H X Which in Dirac Notation is, Which after Measurement means, ½ probability of ‘0’ & ½ probability of ‘1’

  8. Entanglement Example H P A Q B

  9. 00 01 10 11 00 1 01 √2 10 11 1 0 1 0 0 1 0 1 1 0 -1 0 0 1 0 -1 Entanglement Example – Step 1 Hadamard Hadamard in parallel with wire A P H A P H Q B =  Wire A P

  10. 00 01 10 11 00 01 10 11 00 01 10 11 00 01 10 11 00 00 00 00 1 01 01 01 01 1 √2 10 10 10 10 √2 11 11 11 11 1 0 1 0 0 1 0 1 1 0 -1 0 0 1 0 -1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 -1 1 0 -1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 Entanglement Example – Step 2 Einstein-Podolsky-Rosen Feynman Gate A P H A Q P B Q B = X

  11. 00 01 10 11 00 00 01 01 1 1 10 10 √2 √2 11 11 1 0 1 0 0 1 0 1 0 1 0 -1 1 0 -1 0 Putting it together Vector ‘I’ 0 1 0 0 Selected Combination A B H Matrix ‘M’ P Q Measurement Vector ‘O’ 0 1 1 0 Either the robot will turn left or turn right with equal probability. O = M * I

  12. 00 01 10 11 00 00 01 01 1 1 10 10 √2 √2 11 11 1 0 1 0 0 1 0 1 0 1 0 -1 1 0 -1 0 Another example of entanglement This robot will never turn left or right although is still probabilistic. This is demonstration of entanglement. Will never detonate a bomb. Vector of inputs in a room with no light 1 0 0 0 Selected Combination A B H Matrix ‘M’ P Q Measurement Vector ‘O’ 1 0 0 1 Either the robot will go forward or stop with equal probability. O = M * I

  13. Next: Quantum Automaton Robot

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