#piπ

[sannuiz]

twewy posting twewy posting

2 doodles of beat my beloved + obligatory minamimoto π joke

[physics369]

Quantum Gate:---Raju Rai

We are living in mysterious world where mathematics plays the vital role in every action and reaction. So what we know is we have three realm where we can apply mathematics mostly, they are Classical, Quantum and Huge body realm. on the basis of different realm’s phenomenon technology is growing in positive or negative direction. In this article i only write about classical and quantum technologies.

* Classical Technology:

We are living the classical world and it is very beautiful. We live here we need different facilities in context of technology. So to development of those facilities we should go through different fundamental things among from Circuits gates comes first because it is very building block of technology. In classical devices we use the gates, and they are:

1) Basic gates(OR, AND,NOT)

2) Universal gates( NAND, NOR)

3) Special gates(X-OR ,X-NOR)

OR gate is basic gate of electronics devices, which gives high output when there should be at least one high input. otherwise output will be low.

AND gate gives an output as 1 only when both of its input signals are 1 but gives an output as 0 when both or either of the input signals is 0.

NOT gate uses just one input to generate one output. A NOT gate inverts the input - the output is 1 (high) if the input is 0 (low),

NAND gate is an electronic logic gate that is a combination of an AND gate and a NOT gate, it is universal gate because we can make other gate on the basis of this gate. In this gate the out of will be invert of AND gate.

NOR gate is simply an OR gate followed by a NOT gate. The output is 1 only when all inputs are 0. Or the output is high when all the inputs are low. These are also called Universal gates since the earlier three gates can be realized by using the NOR gate.

X-OR gate  an abbreviation for “Exclusively-OR.” The simplest XOR gate is a two-input digital circuit that outputs a logical “1” if the two input values differ.

XNOR gate (sometimes referred to by its extended name, Exclusive NOR gate) is a digital logic gate with two or more inputs and one output that performs logical equality. The output of an XNOR gate is true when all of its inputs are true or when all of its inputs are false.

*Quantum Technology:

Now-days we trying to implement the quantum phenomenon(Super-position and Entanglement ) in many devices to get the highest form efficiency and speed. So we have quantum technology and to build that technology we need basic block of circuit that’s we called quantum gates. There are several gates:

1) Pauli X-gate

2) Pauli Y-gate

3) Pauli Z-gate

4) Hadamard gate

5) S-gate

6) T-gate

7) CNOT gate, CX gate

8) CZ gate

9) SWAP gate

10) TOFFOLI gate(CCNOT)

*Pauli-X gate:

The Pauli-X gate is a single-qubit rotation through \piπ radians around the x-axis.

CODE:

qc = QuantumCircuit(1)

qc.x(0) 

qc.draw()

* Pauli-Y gate:

The Pauli-Y gate is a single-qubit rotation through π radians around the y-axis.

CODE:

qc = QuantumCircuit(1)

qc.y(0)

qc.draw()

* Pauli Z-gate:

The Z-gate is a unitary gate that acts on only one qubit. Specifically it maps 1 to -1 and leaves 0 unchanged. It does this by rotating around the Z axis of the qubit by π radians (180 degrees). By doing this it flips the phase of the qubit.

CODE:

qc = QuantumCircuit(1)

qc.z(0)

qc.draw()

* Pauli H-gate:

H-gate is one of very important and interesting gate. which creates the super-position.   (H-gate) is a fundamental quantum gate. It allows us to move away from the poles of the Bloch sphere and create a superposition of |0⟩|0⟩ and |1⟩|1⟩

CODE:

qc = QuantumCircuit(1)

qc.h(0)

qc.draw()

* CNOT gate:

Controlled NOT gate (also C-NOT or CNOT) is a quantum logic gate that is an essential component in the construction of a gate-based quantum computer. It can be used to entangle and disentangle Bell states.

CODE:

qc = QuantumCircuit(2)

qc.cx(0,1) 

 qc.draw()

Note: For other gates, i will write next article.

THANK YOU:

[marrkopolo]

Counting may be a missing link in our everlasting journey to understand human evolution.We can do math unconsciously and everyday make decisions based on our gut feelings or intuition.The subconscious mind only lives in the present and believes anything regardless of the logic. Could you imagine our ancestors frolicking in the dark void of subconscious and then in one mesmerizing instant EUREKA! a conscious thought. Is it a coincidence that the subconscious is believed by some to be in the most ancient part of our brain (the cerebellum) And what is the connection in the middle? Our limbic system. The area responsible for our feelings and fight/flight response.We can then make another connection to up at the top in our prefrontal cortex; the area that commands our executive functions and complex behavior.

It has been proven that animals can do simple mathematics.I hypothesize that our evolution may have something to do with the change in earth. The temperature and seasons.This forced us to evolve and recognize patterns. Why does time seem to describe our personalities? What about the familiarity with PIπ in mother nature?

In the future what will be the next evolutionary leap in our brains?The machine implant?Please let me know with a comment.