What is a quantum algorithm? (2024)

Quantum Algorithms

An algorithm is a step-by-step procedure to perform a calculation, or a sequence of instructions to solve a problem, where each step can be performed on a computer. Therefore, an algorithm is a quantum algorithm when it can be performed on a quantum computer. In principle it is possible to run all classical algorithms on a quantum computer. However, the term quantum algorithm is applied to algorithms of which at least one of the steps is distinctly ‘quantum’, using superposition or entanglement.

Quantum circuits

Quantum algorithms are most commonly described by a quantum circuit, of which a simple example is shown in the figure below. A quantum circuit is a model for quantum computation, where the steps to solve the problem are quantum gates performed on one or more qubits. A quantum gate is an operation applied to a qubit that changes the quantum state of the qubit. Quantum gates can be divided into single-qubit gates and two-qubit gates, depending on the number of qubits on which they are applied at the same time. Three-qubit gates and other multi-qubit gates can also be defined. A quantum circuit is concluded with a measurement on one or more qubits.

When your algorithm is executed on a emulator backend, instead of a hardware backend, it is usually very beneficial in terms of execution time, to omit the measurement at the end of the algorithm. This is explained in more detail in the section on simulation optimization

  version 1.0# define a quantum register of 2 qubitsqubits 2h q[0]cnot q[0],q[1]measure_all  
q[0]
q[1]

Reversibility of quantum circuits

A difference with a classical algorithm is that a quantum algorithm is always reversible. This means that if measurements are not a part of the circuit, a reverse traversal of the quantum circuit will undo the operations brought about by a forward traversal of that circuit.

The power of quantum algorithms

Problems that are fundamentally unsolvable by classical algorithms (so called undecidable problems) cannot be solved by quantum algorithms either. The added value of quantum algorithms is that they can solve some problems significantly faster than classical algorithms. The best-known examples are Shor’s algorithm and Grover’s algorithm. Shor’s algorithm is a quantum algorithm for integer factorization. Simply put, when given an integer N, it will find its prime factors. It can solve this problem exponentially faster than the best-known classical algorithm can. Grover’s algorithm can search an unstructured database or unordered list quadratically faster than the best classical algorithm with this purpose.

What is a quantum algorithm? (2024)

FAQs

What is a quantum algorithm? ›

The quantum algorithm is a stepwise procedure carried out on a quantum computer to solve a problem that includes the searching of a database. From: Design, Analysis, and Applications of Renewable Energy Systems, 2021.

What is an example of a simple quantum algorithm? ›

The best-known examples are Shor's algorithm and Grover's algorithm. Shor's algorithm is a quantum algorithm for integer factorization. Simply put, when given an integer N, it will find its prime factors. It can solve this problem exponentially faster than the best-known classical algorithm can.

What is quantum information in simple terms? ›

Quantum information, like classical information, can be processed using digital computers, transmitted from one location to another, manipulated with algorithms, and analyzed with computer science and mathematics. Just like the basic unit of classical information is the bit, quantum information deals with qubits.

What is the simplest explanation of quantum computing? ›

Quantum computing involves qubits. Unlike a normal computer bit, which can be either 0 or 1, a qubit can exist in a multidimensional state. The power of quantum computers grows exponentially with more qubits. Classical computers that add more bits can increase power only linearly.

How do quantum computers find the right answer? ›

Unlike conventional computers, the processing in quantum-based machines is noisy, which produces error rates dramatically higher than those of silicon-based computers. So quantum operations repeat thousands of times to make the correct answer stand out statistically from all the wrong ones.

What is the most famous quantum algorithm? ›

The best-known algorithms are Shor's algorithm for factoring and Grover's algorithm for searching an unstructured database or an unordered list. Shor's algorithm runs much (almost exponentially) faster than the best-known classical algorithm for factoring, the general number field sieve.

What do you mean by quantum algorithm? ›

The quantum algorithm is a stepwise procedure carried out on a quantum computer to solve a problem that includes the searching of a database. From: Design, Analysis, and Applications of Renewable Energy Systems, 2021.

What is quantum in simple terms? ›

A quantum (plural: quanta) is the smallest discrete unit of a phenomenon. For example, a quantum of light is a photon, and a quantum of electricity is an electron. Quantum comes from Latin, meaning "an amount" or "how much?" If something is quantifiable, then it can be measured.

How do you explain quantum to a child? ›

Quantum Theory is all about the tiniest building blocks that make up everything around us, like atoms, electrons, and photons. Just like how different Lego pieces can be put together to build amazing creations, these tiny building blocks combine in unique ways to create everything in the universe.

What is quantum mechanics in layman's terms? ›

Quantum mechanics is the field of physics that explains how extremely small objects simultaneously have the characteristics of both particles (tiny pieces of matter) and waves (a disturbance or variation that transfers energy).

What is the simple definition of quantum computing? ›

Quantum computing is a multidisciplinary field comprising aspects of computer science, physics, and mathematics that utilizes quantum mechanics to solve complex problems faster than on classical computers. The field of quantum computing includes hardware research and application development.

How do you explain quantum computing to a child? ›

Quantum computers are different from classical computers in several ways. First, they use qubits instead of bits to store and process information. Qubits can exist simultaneously in multiple states, allowing quantum computers to perform calculations in parallel, making them much faster than classical computers.

What is quantum technology for dummies? ›

A new type of computer that harnesses the power of the atom is revolutionizing how computers work. This book introduces you to systems that use the laws of quantum mechanics to solve problems in minutes that would otherwise take the world's largest supercomputer millions of years to process.

What can quantum computers do that normal ones can't? ›

In classical computers, algorithms need a lot of parallel computations to solve problems. Quantum computers can account for multiple outcomes when they analyze data with a large set of constraints.

How does a quantum computer work in simple terms? ›

Quantum computing uses the qubit as the basic unit of information rather than the conventional bit. The main characteristic of this alternative system is that it permits the coherent superposition of ones and zeros, the digits of the binary system around which all computing revolves.

What real world problems can quantum computers solve? ›

Potential uses for quantum computing
  • AI and machine learning (ML). The capability of calculating solutions to problems simultaneously, as opposed to sequentially, has huge potential for AI and ML. ...
  • Financial modeling. ...
  • Cybersecurity. ...
  • Route and traffic optimization. ...
  • Manufacturing. ...
  • Drug and chemical research. ...
  • Batteries.
Feb 10, 2023

What is an example of a simple algorithm? ›

Daily routines, such as morning routines, bedtime routines, or even exercise routines are another example of algorithms in everyday life. Ask your students what they do to get ready for bed. Most likely, they will have a specific set of steps that are replicated (and could be replicated by others) to prepare for bed.

What is a simple example of quantum? ›

A quantum (plural: quanta) is the smallest discrete unit of a phenomenon. For example, a quantum of light is a photon, and a quantum of electricity is an electron. Quantum comes from Latin, meaning "an amount" or "how much?" If something is quantifiable, then it can be measured.

What is the simplest quantum system? ›

A qubit is a two-state (or two-level) quantum-mechanical system, one of the simplest quantum systems displaying the peculiarity of quantum mechanics.

What is an example of a simple math algorithm? ›

For example, the process of adding two numbers together is an algorithm. The steps would be: 1) identify the two numbers, 2) add them together, and 3) write down the result. This is a simple algorithm, but the definition holds true even for the most complex mathematical problems.

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