Quantum computing 101

Welcome to our Quantum 101 page. Here, we will explain the wonderful world of quantum computing in simple terms. Let’s start with the basics:

Let’s start with the basics:

What is a quantum computer?

A quantum computer uses the unique properties of quantum physics to solve problems that are impossible to solve on classical computers.

By exploiting quantum phenomena like entanglement, superposition and interference, quantum computers fundamentally change the rules of the game.

What is a qubit?

A quantum bit, or “qubit”, is the smallest unit of data in quantum computing, much like bits in classical computing.  The highest quality qubits are atoms, but there are multiple types of qubits.

How do we use qubits?

Just like classical computers use logic gates (AND, OR, NOT) to manipulate bits, quantum computers use quantum gates to manipulate qubits. These gates are used to perform operations like changing the state of a qubit or entangling multiple qubits.

The principles of quantum computing

What makes quantum computers so unique? The unintuitive principles of quantum mechanics are what unlocks the power of quantum computing.

Superposition

Classical bits can only exist in one state at a time (“on” or “off”). In contrast, qubits can exist in multiple states simultaneously (on or off, or both), only resolving to a definite state when measured.

ENTANGLEMENT

When two qubits are entangled they cannot be described independently of each other, even when they are separated by a large distance.

INTERFERENCE

When 2 waves are added, they interfere with each other (either constructively or destructively). In quantum mechanics, the wavefunctions of different qubits can interfere with each other, which leads to lots of unique effects.

COHERENCE

Quantum systems are very delicate – even a single stray photon can change the state of a qubit. The coherence time describes how long a qubit stays controlled before its quantum state is changed in an unintended way. Trapped ions have some of the longest coherence times in the industry.

The importance of quantum computing

By using quantum bits (qubits) and quantum mechanics, quantum computers are operating with a fundamentally different set of rules to the game compared to classical computers. In certain cases, a quantum computer can operate much, much faster than a classical computer. This “speedup” means that there are certain tasks that would have taken, for example, 10,000 years on a classical computer that might now only take days.

By harnessing quantum physics, our computers move beyond the limits of classical systems to answer questions that were previously impossible to tackle.

Why trapped ion quantum computing?

ADVANTAGES OF TRAPPED ION QUANTUM COMPUTING:

Lowest error rates

All-to-all connectivity

Easily scalable architecture

Nature’s perfect qubits

Low energy cost / low power cost

Real-time hybrid co-compute

Real-time error correction

Biggest quantum volume

Quantinuum QCCD
Superconducting
Neutral Atom
Qubit type
Ion (charged atom)
Superconducting circuit
Neutral atom
Identical Qubits
Yes
No
Yes
Architecture
Quantum Charge-Coupled Device
Fixed 2D grid
Neutral atom tweezer array
Qubit temperature (colder means less thermal noise)
~10 uK
~10,000 uK
~10,000 uK
Connectivity
All-to-all
Nearest-neighbor
Many-to-many
Mid-Circuit Measurement and re-use (demonstrated)
Yes
Yes
No
Quantum Volume
221
29
Not measured
2 Qubit Gate Fidelity (%)
99.998
99.67
99.52
1 Qubit Gate Fidelity (%)
99.997
99.965
99.978
State Prep and Measurement (SPAM) error (%)
0.15
0.77
1.0
Coherence time (µs)
~1,000,000
<100
~1,000,000
Logical error rate per error correction round (%) (demonstrated)
0.022
1
4.9
Conditional Logic?
Yes
Yes
No
Arbitrary Angle gates
Yes
No
No
ADVANTAGES OF TRAPPED ION QUANTUM COMPUTING:

Lowest error rates

All-to-all connectivity

Easily scalable architecture

Nature’s perfect qubits

Low energy cost / low power cost

Real-time hybrid co-compute

Real-time error correction

Biggest quantum volume

Learn more about how trapped ion quantum computing works in the video below.

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We’re taking quantum computing to its full potential, delivering universal, fully fault-tolerant quantum computing by the end of the decade.

Energy
RELEVANCE

As technology progresses, energy demands become increasingly pressing. 

New technologies like hydrogen fuel cells could be transformative, but huge barriers to practical implementation remain such as the expense of using platinum at large scales.  To replace the platinum in fuel cells with something more cost effective one must first understand the chemistry at the atomic level. 

Unfortunately, classical methodology is incapable of modeling the exact chemical reaction that occurs within. Until this is possible scientists remain unsure how to replace it.

COMPUTATIONAL CHALLENGE 

Accurate simulation with classical computers is difficult because it requires too much memory to handle.

QUANTUM SOLUTION 

To simulate the oxygen reduction reaction on platinum catalysts, scientists can use quantum chemistry tools like InQuanto. This can help them to understand the reactions in detail, thereby identifying cost-effective alternatives to platinum. 

Quantum approaches are expected to outperform classical methods by 2029. This time horizon has moved up from the original estimation of 2033 due to Quantinuum's breakthroughs in hardware and error correction.

Computational Biology
RELEVANCE

There are nearly infinite problems in biology that can benefit from a computational approach – saving time, resources, and reducing human impact. 

For example, heart disease is a large and growing multifactorial issue – in the U.S. alone over 6 million adults suffer from it, resulting in over $250 billion in annual costs

Identifying new therapies that can treat the underlying disease rather than just symptoms requires a deep understanding of the disease biology.

COMPUTATIONAL CHALLENGE 

Biological systems are often extremely interconnected with complicated correlations and thus not well suited for traditional computing methods.

QUANTUM SOLUTION 

Because entanglement and interference are already inherent, quantum computers are much better suited to model systems with complicated correlations.

Chemicals and materials
RELEVANCE

Chemistry affects every aspect of our lives; from food, to clothing, to powering the grid. For example, producing ammonia, a crucial component in fertilizer, costs us 2% of the world’s energy usage each year. In addition, the Haber-Bosch process, the most common method for ammonia production, releases significant amounts of CO2.

COMPUTATIONAL CHALLENGE 

Developing new processes to produce ammonia require a deeper understanding of the chemistry at play. 

Current approaches to modelling the chemistry rely heavily on approximations, limiting their value. Due to this, there is a heavy reliance on in-lab trial-and-error experimentation, which is time consuming, expensive, and does not guarantee results.

QUANTUM SOLUTION 

Quantum computing is well posed to solve problems in quantum chemistry – the best way to model a quantum mechanical system is with a quantum mechanical system.

We have been using InQuanto to model the activation and dissociation of nitrogen on iron surfaces – the main catalysts used in fertilizer production.

Cybersecurity
RELEVANCE

Quantum computing’s increasing power will create significant cybersecurity weaknesses – and also advantages.

COMPUTATIONAL CHALLENGE 

A quantum computer will eventually break RSA cryptography thanks to Shor’s algorithm – something a classical computer will never be able to do. This is a significant threat to our digital security.

QUANTUM SOLUTION 

We are building a safe post-quantum world. We work on everything from quantum-hardened cryptographic keys, to true randomness, to methods for enhanced fraud detection, marrying AI and quantum.