Quick Answer: Describe A Circuit Family That Decides L. What Is The Size Of The Circuit Family, In Big-o Terms?


What is the size of a circuit?

Two important complexity measures for circuits (which somewhat parallel time and space for Turing machines) are size and depth, where the size of a circuit is the number of non-input gates it has and the depth of a circuit is the length of the longest path (from an input gate to the output gate) in the underlying

How do you find the complexity of a circuit?

Size and depth The size of a circuit is the number of gates it contains and its depth is the maximal length of a path from an input gate to the output gate. (respectively for depth minimal families). Thus, circuit complexity is meaningful even for non-recursive languages.

What is Circuit depth?

The circuit depth is the length of the longest path from the input (or from a preparation) to the output (or a measurement gate), moving forward in time along qubit wires.

What is a minimal circuit?

For now, we will use a simpler method—the minimal circuit will be defined as the one that uses the fewest number of logic gates (or, if two forms use the same number of gates, then the one that uses the fewest number of total inputs to all gates will be considered the simplest).

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How do you determine the size of a circuit breaker?

The general rule of thumb is that circuit breaker size should be 125% of the ampacity of cable and wire or the circuit which has to be protected by the CB. Let see the following solved examples: Example 1: Suppose, a 12 gauge wire is used for 20 amperes lighting circuit having 120V single phase supply.

What are the standard circuit breaker sizes?

Standard sizes for fuses and fixed trip circuit breakers, per 240.6, are 15, 20, 25, 30, 35, 40, 45, 50, 60, 70, 80, 90, 100, 110, 125, 150, 175, 200, 225, 250, 300, 350, 400, 450, 500, 600, 700, 800, 1000, 1200, 1600, 2000, 2500, 3000, 4000 5000, and 6000 amps.

What is a shallow circuit?

Shallow quantum circuits are quantum circuits whose depth is fixed and does not increase with the size of the problem being solved.

What is a complex circuit?

A complex circuit configuration is one that contains components that neither a parallel nor series with each other. If a circuit can be reduced to a single resistor, it is a series or parallel. If not, it is a complex circuit.

Is NP a P Poly?

It is known that for a random oracle A, NP A is not a subset of P A/ poly with probability 1. P / poly is also used in the field of cryptography. Although not all languages in P / poly are sparse languages, there is a polynomial-time Turing reduction from any language in P / poly to a sparse language.

What is depth of quantum circuit?

The depth of a circuit is the longest path in the circuit. The path length is always an integer number, representing the number of gates it has to execute in that path. For example, the following circuit has depth 3: if you look at the second qubit, there are 3 gates acting upon it.

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Is a circuit?

A circuit is a closed loop that electrons can travel in. A source of electricity, such as a battery, provides electrical energy in the circuit. Unless the circuit is complete, that is, making a full circle back to the electrical source, no electrons will move.

What is Boolean circuit logic?

In computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. Each gate corresponds to some Boolean function that takes a fixed number of bits as input and outputs a single bit.

What are the universal gates?

A universal gate is a gate which can implement any Boolean function without need to use any other gate type. The NAND and NOR gates are universal gates. In practice, this is advantageous since NAND and NOR gates are economical and easier to fabricate and are the basic gates used in all IC digital logic families.

What is NAND logic gate?

In digital electronics, a NAND gate (NOT-AND) is a logic gate which produces an output which is false only if all its inputs are true; thus its output is complement to that of an AND gate. A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), a HIGH (1) output results.

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